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Finding the Fourth Proportional to 410.73, 616.17 and 167.43

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Solution

The fourth proportional to 410.73, 616.17 and 167.43 is: 251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.73 : 616.17 = 167.43 : x
  2. Step 2: Convert to fraction form
    410.73/616.17 = 167.43/x
  3. Step 3: Cross multiply
    410.73x = 616.17 × 167.43
  4. Step 4: Simplify right side
    410.73x = 103,165.34
  5. Step 5: Solve for x
    x = 103,165.34/410.73
  6. Step 6: Final answer
    x = 251.18

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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.