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Finding the Fourth Proportional to 422.75, 634.07 and 148.85

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Solution

The fourth proportional to 422.75, 634.07 and 148.85 is: 223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.75 : 634.07 = 148.85 : x
  2. Step 2: Convert to fraction form
    422.75/634.07 = 148.85/x
  3. Step 3: Cross multiply
    422.75x = 634.07 × 148.85
  4. Step 4: Simplify right side
    422.75x = 94,377.40
  5. Step 5: Solve for x
    x = 94,377.40/422.75
  6. Step 6: Final answer
    x = 223.25

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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.