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Finding the Fourth Proportional to 457.22, 685.72 and 132.53

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Solution

The fourth proportional to 457.22, 685.72 and 132.53 is: 198.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.22 : 685.72 = 132.53 : x
  2. Step 2: Convert to fraction form
    457.22/685.72 = 132.53/x
  3. Step 3: Cross multiply
    457.22x = 685.72 × 132.53
  4. Step 4: Simplify right side
    457.22x = 90,875.21
  5. Step 5: Solve for x
    x = 90,875.21/457.22
  6. Step 6: Final answer
    x = 198.75

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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.