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Finding the Fourth Proportional to 249.12, 343.84 and 207.56

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Solution

The fourth proportional to 249.12, 343.84 and 207.56 is: 286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.12 : 343.84 = 207.56 : x
  2. Step 2: Convert to fraction form
    249.12/343.84 = 207.56/x
  3. Step 3: Cross multiply
    249.12x = 343.84 × 207.56
  4. Step 4: Simplify right side
    249.12x = 71,367.43
  5. Step 5: Solve for x
    x = 71,367.43/249.12
  6. Step 6: Final answer
    x = 286.48

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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.