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Finding the Fourth Proportional to 220.22, 329.84 and 165.44

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Solution

The fourth proportional to 220.22, 329.84 and 165.44 is: 247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.22 : 329.84 = 165.44 : x
  2. Step 2: Convert to fraction form
    220.22/329.84 = 165.44/x
  3. Step 3: Cross multiply
    220.22x = 329.84 × 165.44
  4. Step 4: Simplify right side
    220.22x = 54,568.73
  5. Step 5: Solve for x
    x = 54,568.73/220.22
  6. Step 6: Final answer
    x = 247.79

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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.