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Finding the Fourth Proportional to 220.52, 330.86 and 106.52

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Solution

The fourth proportional to 220.52, 330.86 and 106.52 is: 159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.52 : 330.86 = 106.52 : x
  2. Step 2: Convert to fraction form
    220.52/330.86 = 106.52/x
  3. Step 3: Cross multiply
    220.52x = 330.86 × 106.52
  4. Step 4: Simplify right side
    220.52x = 35,243.21
  5. Step 5: Solve for x
    x = 35,243.21/220.52
  6. Step 6: Final answer
    x = 159.82

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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.