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Finding the Fourth Proportional to 225.98, 338.96 and 71.91

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Solution

The fourth proportional to 225.98, 338.96 and 71.91 is: 107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.98 : 338.96 = 71.91 : x
  2. Step 2: Convert to fraction form
    225.98/338.96 = 71.91/x
  3. Step 3: Cross multiply
    225.98x = 338.96 × 71.91
  4. Step 4: Simplify right side
    225.98x = 24,375.11
  5. Step 5: Solve for x
    x = 24,375.11/225.98
  6. Step 6: Final answer
    x = 107.87

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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.