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Finding the Fourth Proportional to 308.29, 462.45 and 102.88

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Solution

The fourth proportional to 308.29, 462.45 and 102.88 is: 154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.29 : 462.45 = 102.88 : x
  2. Step 2: Convert to fraction form
    308.29/462.45 = 102.88/x
  3. Step 3: Cross multiply
    308.29x = 462.45 × 102.88
  4. Step 4: Simplify right side
    308.29x = 47,576.86
  5. Step 5: Solve for x
    x = 47,576.86/308.29
  6. Step 6: Final answer
    x = 154.33

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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.