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Finding the Fourth Proportional to 494.86, 742.42 and 170.25

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Solution

The fourth proportional to 494.86, 742.42 and 170.25 is: 255.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.86 : 742.42 = 170.25 : x
  2. Step 2: Convert to fraction form
    494.86/742.42 = 170.25/x
  3. Step 3: Cross multiply
    494.86x = 742.42 × 170.25
  4. Step 4: Simplify right side
    494.86x = 126,397.65
  5. Step 5: Solve for x
    x = 126,397.65/494.86
  6. Step 6: Final answer
    x = 255.42

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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.