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Finding the Fourth Proportional to 422.77, 634.09 and 179.26

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Solution

The fourth proportional to 422.77, 634.09 and 179.26 is: 268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.77 : 634.09 = 179.26 : x
  2. Step 2: Convert to fraction form
    422.77/634.09 = 179.26/x
  3. Step 3: Cross multiply
    422.77x = 634.09 × 179.26
  4. Step 4: Simplify right side
    422.77x = 113,666.97
  5. Step 5: Solve for x
    x = 113,666.97/422.77
  6. Step 6: Final answer
    x = 268.86

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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.