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Finding the Fourth Proportional to 249.37, 344.03 and 175.73

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Solution

The fourth proportional to 249.37, 344.03 and 175.73 is: 242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.37 : 344.03 = 175.73 : x
  2. Step 2: Convert to fraction form
    249.37/344.03 = 175.73/x
  3. Step 3: Cross multiply
    249.37x = 344.03 × 175.73
  4. Step 4: Simplify right side
    249.37x = 60,456.37
  5. Step 5: Solve for x
    x = 60,456.37/249.37
  6. Step 6: Final answer
    x = 242.44

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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.