What approximate value should come in the place of (?) mark :
`72.01% "of" (? + 224.98) = (14.01)^(2) + 199.99`

Options

A. 325
B. 375
C. 225
D. 405

Answer

To solve the equation \( 72.01\% \text{ of } (? + 224.98) = (14.01)^2 + 199.99 \), we will follow these steps:

### Step 1: Approximate the values
First, we approximate the numbers involved in the equation:
- \( 72.01\% \) can be approximated to \( 72\% \).
- \( 224.98 \) can be approximated to \( 225 \).
- \( (14.01)^2 \) can be approximated to \( 14^2 \), which is \( 196 \).
- \( 199.99 \) can be approximated to \( 200 \).

So, the equation simplifies to:
\[ 72\% \text{ of } (? + 225) = 196 + 200 \]

### Step 2: Simplify the right-hand side
Now, we simplify the right-hand side:
\[ 196 + 200 = 396 \]
Thus, we have:
\[ 72\% \text{ of } (? + 225) = 396 \]

### Step 3: Convert percentage to decimal
Next, we convert \( 72\% \) to a decimal for easier calculations:
\[ 72\% = \frac{72}{100} = 0.72 \]
So, we can rewrite the equation as:
\[ 0.72 \times (? + 225) = 396 \]

### Step 4: Isolate the variable
Now, we isolate \( ? + 225 \) by dividing both sides by \( 0.72 \):
\[ ? + 225 = \frac{396}{0.72} \]

### Step 5: Calculate the division
Calculating \( \frac{396}{0.72} \):
\[ \frac{396}{0.72} \approx 550 \]
Thus, we have:
\[ ? + 225 = 550 \]

### Step 6: Solve for ?
Now, we solve for \( ? \):
\[ ? = 550 - 225 \]
\[ ? = 325 \]

### Final Answer
Therefore, the approximate value that should come in place of the (?) mark is:
\[ \boxed{325} \]