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Finding the Fourth Proportional to 494.78, 742.20 and 170.14

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Solution

The fourth proportional to 494.78, 742.20 and 170.14 is: 255.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.78 : 742.20 = 170.14 : x
  2. Step 2: Convert to fraction form
    494.78/742.20 = 170.14/x
  3. Step 3: Cross multiply
    494.78x = 742.20 × 170.14
  4. Step 4: Simplify right side
    494.78x = 126,277.91
  5. Step 5: Solve for x
    x = 126,277.91/494.78
  6. Step 6: Final answer
    x = 255.22

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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.