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Finding the Fourth Proportional to 457.40, 686.10 and 132.80

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Solution

The fourth proportional to 457.40, 686.10 and 132.80 is: 199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.40 : 686.10 = 132.80 : x
  2. Step 2: Convert to fraction form
    457.40/686.10 = 132.80/x
  3. Step 3: Cross multiply
    457.40x = 686.10 × 132.80
  4. Step 4: Simplify right side
    457.40x = 91,114.08
  5. Step 5: Solve for x
    x = 91,114.08/457.40
  6. Step 6: Final answer
    x = 199.20

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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.