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Finding the Fourth Proportional to 221.84, 306.16 and 123.61

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Solution

The fourth proportional to 221.84, 306.16 and 123.61 is: 170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.84 : 306.16 = 123.61 : x
  2. Step 2: Convert to fraction form
    221.84/306.16 = 123.61/x
  3. Step 3: Cross multiply
    221.84x = 306.16 × 123.61
  4. Step 4: Simplify right side
    221.84x = 37,843.05
  5. Step 5: Solve for x
    x = 37,843.05/221.84
  6. Step 6: Final answer
    x = 170.59

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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.