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Finding the Fourth Proportional to 220.12, 329.47 and 142.81

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Solution

The fourth proportional to 220.12, 329.47 and 142.81 is: 213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.12 : 329.47 = 142.81 : x
  2. Step 2: Convert to fraction form
    220.12/329.47 = 142.81/x
  3. Step 3: Cross multiply
    220.12x = 329.47 × 142.81
  4. Step 4: Simplify right side
    220.12x = 47,052.28
  5. Step 5: Solve for x
    x = 47,052.28/220.12
  6. Step 6: Final answer
    x = 213.76

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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.