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Finding the Fourth Proportional to 422.72, 634.08 and 179.20

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Solution

The fourth proportional to 422.72, 634.08 and 179.20 is: 268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.72 : 634.08 = 179.20 : x
  2. Step 2: Convert to fraction form
    422.72/634.08 = 179.20/x
  3. Step 3: Cross multiply
    422.72x = 634.08 × 179.20
  4. Step 4: Simplify right side
    422.72x = 113,627.14
  5. Step 5: Solve for x
    x = 113,627.14/422.72
  6. Step 6: Final answer
    x = 268.80

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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.