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Finding the Fourth Proportional to 220.28, 330.32 and 142.13

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Solution

The fourth proportional to 220.28, 330.32 and 142.13 is: 213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.28 : 330.32 = 142.13 : x
  2. Step 2: Convert to fraction form
    220.28/330.32 = 142.13/x
  3. Step 3: Cross multiply
    220.28x = 330.32 × 142.13
  4. Step 4: Simplify right side
    220.28x = 46,946.02
  5. Step 5: Solve for x
    x = 46,946.02/220.28
  6. Step 6: Final answer
    x = 213.12

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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.