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Finding the Fourth Proportional to 224.13, 308.91 and 161.97

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Solution

The fourth proportional to 224.13, 308.91 and 161.97 is: 223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.13 : 308.91 = 161.97 : x
  2. Step 2: Convert to fraction form
    224.13/308.91 = 161.97/x
  3. Step 3: Cross multiply
    224.13x = 308.91 × 161.97
  4. Step 4: Simplify right side
    224.13x = 50,034.15
  5. Step 5: Solve for x
    x = 50,034.15/224.13
  6. Step 6: Final answer
    x = 223.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.