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Finding the Fourth Proportional to 422.62, 634 and 130.11

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Solution

The fourth proportional to 422.62, 634 and 130.11 is: 195.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.62 : 634 = 130.11 : x
  2. Step 2: Convert to fraction form
    422.62/634 = 130.11/x
  3. Step 3: Cross multiply
    422.62x = 634 × 130.11
  4. Step 4: Simplify right side
    422.62x = 82,489.74
  5. Step 5: Solve for x
    x = 82,489.74/422.62
  6. Step 6: Final answer
    x = 195.19

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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.