What approximate value should come in place of question marks(?) in the following questions?
`90.05 +281 div 4 - 151.06 = root(3)(?)`

Options

A. 27
B. 343
C. 216
D. 729

Answer

To solve the equation \(90.05 + \frac{281}{4} - 151.06 = \sqrt[3]{?}\), we will follow these steps:

### Step 1: Simplify the expression on the left side
First, we need to calculate \( \frac{281}{4} \).
\[ \frac{281}{4} = 70.25 \]

### Step 2: Substitute back into the equation
Now, substitute this value back into the equation:
\[ 90.05 + 70.25 - 151.06 \]

### Step 3: Perform the addition
Next, we will add \(90.05\) and \(70.25\):
\[ 90.05 + 70.25 = 160.30 \]

### Step 4: Perform the subtraction
Now, subtract \(151.06\) from \(160.30\):
\[ 160.30 - 151.06 = 9.24 \]

### Step 5: Set the equation for the cube root
Now we have:
\[ 9.24 = \sqrt[3]{?} \]

### Step 6: Cube both sides to find the value of ?
To eliminate the cube root, we will cube both sides:
\[ ? = (9.24)^3 \]

### Step 7: Calculate \(9.24^3\)
Calculating \(9.24^3\):
\[ 9.24^3 \approx 789.7 \]

### Step 8: Approximate the value
Since we are looking for an approximate value, we can round \(789.7\) to \(729\) (as it is the closest option provided).

### Final Answer
Thus, the approximate value that should come in place of the question mark is:
\[ ? \approx 729 \]