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Finding the Fourth Proportional to 221.30, 331.92 and 105.71

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Solution

The fourth proportional to 221.30, 331.92 and 105.71 is: 158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.30 : 331.92 = 105.71 : x
  2. Step 2: Convert to fraction form
    221.30/331.92 = 105.71/x
  3. Step 3: Cross multiply
    221.30x = 331.92 × 105.71
  4. Step 4: Simplify right side
    221.30x = 35,087.26
  5. Step 5: Solve for x
    x = 35,087.26/221.30
  6. Step 6: Final answer
    x = 158.55

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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.