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Finding the Fourth Proportional to 308.38, 462.48 and 115.96

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Solution

The fourth proportional to 308.38, 462.48 and 115.96 is: 173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.38 : 462.48 = 115.96 : x
  2. Step 2: Convert to fraction form
    308.38/462.48 = 115.96/x
  3. Step 3: Cross multiply
    308.38x = 462.48 × 115.96
  4. Step 4: Simplify right side
    308.38x = 53,629.18
  5. Step 5: Solve for x
    x = 53,629.18/308.38
  6. Step 6: Final answer
    x = 173.91

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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.