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Finding the Fourth Proportional to 422.87, 634.55 and 149.16

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Solution

The fourth proportional to 422.87, 634.55 and 149.16 is: 223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.87 : 634.55 = 149.16 : x
  2. Step 2: Convert to fraction form
    422.87/634.55 = 149.16/x
  3. Step 3: Cross multiply
    422.87x = 634.55 × 149.16
  4. Step 4: Simplify right side
    422.87x = 94,648.73
  5. Step 5: Solve for x
    x = 94,648.73/422.87
  6. Step 6: Final answer
    x = 223.83

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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.