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Finding the Fourth Proportional to 424.52, 636.86 and 132.02

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Solution

The fourth proportional to 424.52, 636.86 and 132.02 is: 198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.52 : 636.86 = 132.02 : x
  2. Step 2: Convert to fraction form
    424.52/636.86 = 132.02/x
  3. Step 3: Cross multiply
    424.52x = 636.86 × 132.02
  4. Step 4: Simplify right side
    424.52x = 84,078.26
  5. Step 5: Solve for x
    x = 84,078.26/424.52
  6. Step 6: Final answer
    x = 198.05

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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.