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Finding the Fourth Proportional to 422.89, 634.30 and 149.04

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Solution

The fourth proportional to 422.89, 634.30 and 149.04 is: 223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.89 : 634.30 = 149.04 : x
  2. Step 2: Convert to fraction form
    422.89/634.30 = 149.04/x
  3. Step 3: Cross multiply
    422.89x = 634.30 × 149.04
  4. Step 4: Simplify right side
    422.89x = 94,535.70
  5. Step 5: Solve for x
    x = 94,535.70/422.89
  6. Step 6: Final answer
    x = 223.55

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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.