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Finding the Fourth Proportional to 249.57, 344.10 and 166.53

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Solution

The fourth proportional to 249.57, 344.10 and 166.53 is: 229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.57 : 344.10 = 166.53 : x
  2. Step 2: Convert to fraction form
    249.57/344.10 = 166.53/x
  3. Step 3: Cross multiply
    249.57x = 344.10 × 166.53
  4. Step 4: Simplify right side
    249.57x = 57,302.97
  5. Step 5: Solve for x
    x = 57,302.97/249.57
  6. Step 6: Final answer
    x = 229.61

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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.