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Finding the Fourth Proportional to 422.92, 634.30 and 149.09

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Solution

The fourth proportional to 422.92, 634.30 and 149.09 is: 223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.92 : 634.30 = 149.09 : x
  2. Step 2: Convert to fraction form
    422.92/634.30 = 149.09/x
  3. Step 3: Cross multiply
    422.92x = 634.30 × 149.09
  4. Step 4: Simplify right side
    422.92x = 94,567.79
  5. Step 5: Solve for x
    x = 94,567.79/422.92
  6. Step 6: Final answer
    x = 223.61

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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.