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Finding the Fourth Proportional to 249.57, 344.20 and 209.54

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Solution

The fourth proportional to 249.57, 344.20 and 209.54 is: 288.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.57 : 344.20 = 209.54 : x
  2. Step 2: Convert to fraction form
    249.57/344.20 = 209.54/x
  3. Step 3: Cross multiply
    249.57x = 344.20 × 209.54
  4. Step 4: Simplify right side
    249.57x = 72,121.42
  5. Step 5: Solve for x
    x = 72,121.42/249.57
  6. Step 6: Final answer
    x = 288.98

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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.