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Finding the Fourth Proportional to 249.21, 343.73 and 166.43

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Solution

The fourth proportional to 249.21, 343.73 and 166.43 is: 229.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.21 : 343.73 = 166.43 : x
  2. Step 2: Convert to fraction form
    249.21/343.73 = 166.43/x
  3. Step 3: Cross multiply
    249.21x = 343.73 × 166.43
  4. Step 4: Simplify right side
    249.21x = 57,206.98
  5. Step 5: Solve for x
    x = 57,206.98/249.21
  6. Step 6: Final answer
    x = 229.55

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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.