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Finding the Fourth Proportional to 249.95, 375.11 and 170.97

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Solution

The fourth proportional to 249.95, 375.11 and 170.97 is: 256.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.95 : 375.11 = 170.97 : x
  2. Step 2: Convert to fraction form
    249.95/375.11 = 170.97/x
  3. Step 3: Cross multiply
    249.95x = 375.11 × 170.97
  4. Step 4: Simplify right side
    249.95x = 64,132.56
  5. Step 5: Solve for x
    x = 64,132.56/249.95
  6. Step 6: Final answer
    x = 256.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.