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Finding the Fourth Proportional to 422.98, 634.52 and 134.40

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Solution

The fourth proportional to 422.98, 634.52 and 134.40 is: 201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.98 : 634.52 = 134.40 : x
  2. Step 2: Convert to fraction form
    422.98/634.52 = 134.40/x
  3. Step 3: Cross multiply
    422.98x = 634.52 × 134.40
  4. Step 4: Simplify right side
    422.98x = 85,279.49
  5. Step 5: Solve for x
    x = 85,279.49/422.98
  6. Step 6: Final answer
    x = 201.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.