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Finding the Fourth Proportional to 249.17, 343.82 and 209.68

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Solution

The fourth proportional to 249.17, 343.82 and 209.68 is: 289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.17 : 343.82 = 209.68 : x
  2. Step 2: Convert to fraction form
    249.17/343.82 = 209.68/x
  3. Step 3: Cross multiply
    249.17x = 343.82 × 209.68
  4. Step 4: Simplify right side
    249.17x = 72,091.84
  5. Step 5: Solve for x
    x = 72,091.84/249.17
  6. Step 6: Final answer
    x = 289.33

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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.