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Finding the Fourth Proportional to 221.87, 306.17 and 123.61

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Solution

The fourth proportional to 221.87, 306.17 and 123.61 is: 170.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.87 : 306.17 = 123.61 : x
  2. Step 2: Convert to fraction form
    221.87/306.17 = 123.61/x
  3. Step 3: Cross multiply
    221.87x = 306.17 × 123.61
  4. Step 4: Simplify right side
    221.87x = 37,843.52
  5. Step 5: Solve for x
    x = 37,843.52/221.87
  6. Step 6: Final answer
    x = 170.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.