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Finding the Fourth Proportional to 422.62, 633.96 and 130.14

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Solution

The fourth proportional to 422.62, 633.96 and 130.14 is: 195.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.62 : 633.96 = 130.14 : x
  2. Step 2: Convert to fraction form
    422.62/633.96 = 130.14/x
  3. Step 3: Cross multiply
    422.62x = 633.96 × 130.14
  4. Step 4: Simplify right side
    422.62x = 82,503.55
  5. Step 5: Solve for x
    x = 82,503.55/422.62
  6. Step 6: Final answer
    x = 195.22

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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.