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Finding the Fourth Proportional to 306.14, 458.92 and 113.63

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Solution

The fourth proportional to 306.14, 458.92 and 113.63 is: 170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.14 : 458.92 = 113.63 : x
  2. Step 2: Convert to fraction form
    306.14/458.92 = 113.63/x
  3. Step 3: Cross multiply
    306.14x = 458.92 × 113.63
  4. Step 4: Simplify right side
    306.14x = 52,147.08
  5. Step 5: Solve for x
    x = 52,147.08/306.14
  6. Step 6: Final answer
    x = 170.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.