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Finding the Fourth Proportional to 220.87, 330.85 and 166.11

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Solution

The fourth proportional to 220.87, 330.85 and 166.11 is: 248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.87 : 330.85 = 166.11 : x
  2. Step 2: Convert to fraction form
    220.87/330.85 = 166.11/x
  3. Step 3: Cross multiply
    220.87x = 330.85 × 166.11
  4. Step 4: Simplify right side
    220.87x = 54,957.49
  5. Step 5: Solve for x
    x = 54,957.49/220.87
  6. Step 6: Final answer
    x = 248.82

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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.