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Finding the Fourth Proportional to 220.38, 330.56 and 110.65

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Solution

The fourth proportional to 220.38, 330.56 and 110.65 is: 165.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.38 : 330.56 = 110.65 : x
  2. Step 2: Convert to fraction form
    220.38/330.56 = 110.65/x
  3. Step 3: Cross multiply
    220.38x = 330.56 × 110.65
  4. Step 4: Simplify right side
    220.38x = 36,576.46
  5. Step 5: Solve for x
    x = 36,576.46/220.38
  6. Step 6: Final answer
    x = 165.97

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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.