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Finding the Fourth Proportional to 410.78, 616.17 and 167.15

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Solution

The fourth proportional to 410.78, 616.17 and 167.15 is: 250.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.78 : 616.17 = 167.15 : x
  2. Step 2: Convert to fraction form
    410.78/616.17 = 167.15/x
  3. Step 3: Cross multiply
    410.78x = 616.17 × 167.15
  4. Step 4: Simplify right side
    410.78x = 102,989.73
  5. Step 5: Solve for x
    x = 102,989.73/410.78
  6. Step 6: Final answer
    x = 250.72

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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.