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Finding the Fourth Proportional to 249.27, 343.56 and 175.41

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Solution

The fourth proportional to 249.27, 343.56 and 175.41 is: 241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.27 : 343.56 = 175.41 : x
  2. Step 2: Convert to fraction form
    249.27/343.56 = 175.41/x
  3. Step 3: Cross multiply
    249.27x = 343.56 × 175.41
  4. Step 4: Simplify right side
    249.27x = 60,263.86
  5. Step 5: Solve for x
    x = 60,263.86/249.27
  6. Step 6: Final answer
    x = 241.76

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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.