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Finding the Fourth Proportional to 424.65, 636.90 and 132.09

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Solution

The fourth proportional to 424.65, 636.90 and 132.09 is: 198.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.65 : 636.90 = 132.09 : x
  2. Step 2: Convert to fraction form
    424.65/636.90 = 132.09/x
  3. Step 3: Cross multiply
    424.65x = 636.90 × 132.09
  4. Step 4: Simplify right side
    424.65x = 84,128.12
  5. Step 5: Solve for x
    x = 84,128.12/424.65
  6. Step 6: Final answer
    x = 198.11

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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.