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Finding the Fourth Proportional to 406.74, 610.02 and 132.90

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Solution

The fourth proportional to 406.74, 610.02 and 132.90 is: 199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.74 : 610.02 = 132.90 : x
  2. Step 2: Convert to fraction form
    406.74/610.02 = 132.90/x
  3. Step 3: Cross multiply
    406.74x = 610.02 × 132.90
  4. Step 4: Simplify right side
    406.74x = 81,071.66
  5. Step 5: Solve for x
    x = 81,071.66/406.74
  6. Step 6: Final answer
    x = 199.32

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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.