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Finding the Fourth Proportional to 224.70, 310.17 and 169.57

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Solution

The fourth proportional to 224.70, 310.17 and 169.57 is: 234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.70 : 310.17 = 169.57 : x
  2. Step 2: Convert to fraction form
    224.70/310.17 = 169.57/x
  3. Step 3: Cross multiply
    224.70x = 310.17 × 169.57
  4. Step 4: Simplify right side
    224.70x = 52,594.49
  5. Step 5: Solve for x
    x = 52,594.49/224.70
  6. Step 6: Final answer
    x = 234.07

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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.