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Finding the Fourth Proportional to 308.14, 462.12 and 102.71

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Solution

The fourth proportional to 308.14, 462.12 and 102.71 is: 154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.14 : 462.12 = 102.71 : x
  2. Step 2: Convert to fraction form
    308.14/462.12 = 102.71/x
  3. Step 3: Cross multiply
    308.14x = 462.12 × 102.71
  4. Step 4: Simplify right side
    308.14x = 47,464.35
  5. Step 5: Solve for x
    x = 47,464.35/308.14
  6. Step 6: Final answer
    x = 154.04

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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.