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Finding the Fourth Proportional to 249.16, 343.96 and 161.89

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Solution

The fourth proportional to 249.16, 343.96 and 161.89 is: 223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.16 : 343.96 = 161.89 : x
  2. Step 2: Convert to fraction form
    249.16/343.96 = 161.89/x
  3. Step 3: Cross multiply
    249.16x = 343.96 × 161.89
  4. Step 4: Simplify right side
    249.16x = 55,683.68
  5. Step 5: Solve for x
    x = 55,683.68/249.16
  6. Step 6: Final answer
    x = 223.49

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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.