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Finding the Fourth Proportional to 220.72, 330.80 and 166.46

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Solution

The fourth proportional to 220.72, 330.80 and 166.46 is: 249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.72 : 330.80 = 166.46 : x
  2. Step 2: Convert to fraction form
    220.72/330.80 = 166.46/x
  3. Step 3: Cross multiply
    220.72x = 330.80 × 166.46
  4. Step 4: Simplify right side
    220.72x = 55,064.97
  5. Step 5: Solve for x
    x = 55,064.97/220.72
  6. Step 6: Final answer
    x = 249.48

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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.