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Finding the Fourth Proportional to 249.17, 342.69 and 199.97

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Solution

The fourth proportional to 249.17, 342.69 and 199.97 is: 275.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.17 : 342.69 = 199.97 : x
  2. Step 2: Convert to fraction form
    249.17/342.69 = 199.97/x
  3. Step 3: Cross multiply
    249.17x = 342.69 × 199.97
  4. Step 4: Simplify right side
    249.17x = 68,527.72
  5. Step 5: Solve for x
    x = 68,527.72/249.17
  6. Step 6: Final answer
    x = 275.02

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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.