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Finding the Fourth Proportional to 422.76, 634.26 and 179.43

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Solution

The fourth proportional to 422.76, 634.26 and 179.43 is: 269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.76 : 634.26 = 179.43 : x
  2. Step 2: Convert to fraction form
    422.76/634.26 = 179.43/x
  3. Step 3: Cross multiply
    422.76x = 634.26 × 179.43
  4. Step 4: Simplify right side
    422.76x = 113,805.27
  5. Step 5: Solve for x
    x = 113,805.27/422.76
  6. Step 6: Final answer
    x = 269.20

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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.