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Finding the Fourth Proportional to 249.12, 343.84 and 166.23

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Solution

The fourth proportional to 249.12, 343.84 and 166.23 is: 229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.12 : 343.84 = 166.23 : x
  2. Step 2: Convert to fraction form
    249.12/343.84 = 166.23/x
  3. Step 3: Cross multiply
    249.12x = 343.84 × 166.23
  4. Step 4: Simplify right side
    249.12x = 57,156.52
  5. Step 5: Solve for x
    x = 57,156.52/249.12
  6. Step 6: Final answer
    x = 229.43

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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.