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Finding the Fourth Proportional to 410.72, 616.14 and 136.80

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Solution

The fourth proportional to 410.72, 616.14 and 136.80 is: 205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.72 : 616.14 = 136.80 : x
  2. Step 2: Convert to fraction form
    410.72/616.14 = 136.80/x
  3. Step 3: Cross multiply
    410.72x = 616.14 × 136.80
  4. Step 4: Simplify right side
    410.72x = 84,287.95
  5. Step 5: Solve for x
    x = 84,287.95/410.72
  6. Step 6: Final answer
    x = 205.22

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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.