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Finding the Fourth Proportional to 220.29, 329.97 and 166.52

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Solution

The fourth proportional to 220.29, 329.97 and 166.52 is: 249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.29 : 329.97 = 166.52 : x
  2. Step 2: Convert to fraction form
    220.29/329.97 = 166.52/x
  3. Step 3: Cross multiply
    220.29x = 329.97 × 166.52
  4. Step 4: Simplify right side
    220.29x = 54,944.95
  5. Step 5: Solve for x
    x = 54,944.95/220.29
  6. Step 6: Final answer
    x = 249.42

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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.