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Finding the Fourth Proportional to 224.06, 309.24 and 168.71

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Solution

The fourth proportional to 224.06, 309.24 and 168.71 is: 232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.06 : 309.24 = 168.71 : x
  2. Step 2: Convert to fraction form
    224.06/309.24 = 168.71/x
  3. Step 3: Cross multiply
    224.06x = 309.24 × 168.71
  4. Step 4: Simplify right side
    224.06x = 52,171.88
  5. Step 5: Solve for x
    x = 52,171.88/224.06
  6. Step 6: Final answer
    x = 232.85

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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.