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Finding the Fourth Proportional to 406.85, 610.17 and 132.80

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Solution

The fourth proportional to 406.85, 610.17 and 132.80 is: 199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.85 : 610.17 = 132.80 : x
  2. Step 2: Convert to fraction form
    406.85/610.17 = 132.80/x
  3. Step 3: Cross multiply
    406.85x = 610.17 × 132.80
  4. Step 4: Simplify right side
    406.85x = 81,030.58
  5. Step 5: Solve for x
    x = 81,030.58/406.85
  6. Step 6: Final answer
    x = 199.17

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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.