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Finding the Fourth Proportional to 406.71, 610.13 and 132.78

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Solution

The fourth proportional to 406.71, 610.13 and 132.78 is: 199.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.71 : 610.13 = 132.78 : x
  2. Step 2: Convert to fraction form
    406.71/610.13 = 132.78/x
  3. Step 3: Cross multiply
    406.71x = 610.13 × 132.78
  4. Step 4: Simplify right side
    406.71x = 81,013.06
  5. Step 5: Solve for x
    x = 81,013.06/406.71
  6. Step 6: Final answer
    x = 199.19

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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.