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Finding the Fourth Proportional to 249.88, 345.14 and 176.52

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Solution

The fourth proportional to 249.88, 345.14 and 176.52 is: 243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.88 : 345.14 = 176.52 : x
  2. Step 2: Convert to fraction form
    249.88/345.14 = 176.52/x
  3. Step 3: Cross multiply
    249.88x = 345.14 × 176.52
  4. Step 4: Simplify right side
    249.88x = 60,923.67
  5. Step 5: Solve for x
    x = 60,923.67/249.88
  6. Step 6: Final answer
    x = 243.81

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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.