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Finding the Fourth Proportional to 249.76, 344.28 and 206

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Solution

The fourth proportional to 249.76, 344.28 and 206 is: 283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.76 : 344.28 = 206 : x
  2. Step 2: Convert to fraction form
    249.76/344.28 = 206/x
  3. Step 3: Cross multiply
    249.76x = 344.28 × 206
  4. Step 4: Simplify right side
    249.76x = 70,921.68
  5. Step 5: Solve for x
    x = 70,921.68/249.76
  6. Step 6: Final answer
    x = 283.96

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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.