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Finding the Fourth Proportional to 220.02, 329.96 and 138.78

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Solution

The fourth proportional to 220.02, 329.96 and 138.78 is: 208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.02 : 329.96 = 138.78 : x
  2. Step 2: Convert to fraction form
    220.02/329.96 = 138.78/x
  3. Step 3: Cross multiply
    220.02x = 329.96 × 138.78
  4. Step 4: Simplify right side
    220.02x = 45,791.85
  5. Step 5: Solve for x
    x = 45,791.85/220.02
  6. Step 6: Final answer
    x = 208.13

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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.