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Finding the Fourth Proportional to 422.76, 634.14 and 134.13

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Solution

The fourth proportional to 422.76, 634.14 and 134.13 is: 201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.76 : 634.14 = 134.13 : x
  2. Step 2: Convert to fraction form
    422.76/634.14 = 134.13/x
  3. Step 3: Cross multiply
    422.76x = 634.14 × 134.13
  4. Step 4: Simplify right side
    422.76x = 85,057.20
  5. Step 5: Solve for x
    x = 85,057.20/422.76
  6. Step 6: Final answer
    x = 201.20

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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.