68 : 130 ::?: 350

Options

A. 222
B. 126
C. 226
D. None of these

Explanation

To solve the analogy problem \(68 : 130 :: ? : 350\), we can follow these steps:

### Step 1: Set Up the Proportion
We can express the relationship as a proportion:
\[ \frac{68}{130} = \frac{x}{350} \]

### Step 2: Cross Multiply
Cross multiplying gives us:
\[ 68 \times 350 = 130 \times x \]

### Step 3: Calculate \(68 \times 350\)
Now, we calculate \(68 \times 350\):
\[ 68 \times 350 = 23800 \]

### Step 4: Solve for \(x\)
Now, we can substitute back into the equation:
\[ 23800 = 130 \times x \]
To find \(x\), we divide both sides by 130:
\[ x = \frac{23800}{130} \]

### Step 5: Simplify the Division
Now, we simplify \( \frac{23800}{130} \):
\[ x = 183.0769230769231 \approx 183.08 \]

### Final Answer
Thus, the value of \(x\) is approximately \(183\).

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