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Finding the Fourth Proportional to 422.57, 633.87 and 144.95

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Solution

The fourth proportional to 422.57, 633.87 and 144.95 is: 217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.57 : 633.87 = 144.95 : x
  2. Step 2: Convert to fraction form
    422.57/633.87 = 144.95/x
  3. Step 3: Cross multiply
    422.57x = 633.87 × 144.95
  4. Step 4: Simplify right side
    422.57x = 91,876.29
  5. Step 5: Solve for x
    x = 91,876.29/422.57
  6. Step 6: Final answer
    x = 217.42

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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.