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Finding the Fourth Proportional to 220.65, 331.14 and 112.38

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Solution

The fourth proportional to 220.65, 331.14 and 112.38 is: 168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.65 : 331.14 = 112.38 : x
  2. Step 2: Convert to fraction form
    220.65/331.14 = 112.38/x
  3. Step 3: Cross multiply
    220.65x = 331.14 × 112.38
  4. Step 4: Simplify right side
    220.65x = 37,213.51
  5. Step 5: Solve for x
    x = 37,213.51/220.65
  6. Step 6: Final answer
    x = 168.65

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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.