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Finding the Fourth Proportional to 516.57, 774.92 and 169.78

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Solution

The fourth proportional to 516.57, 774.92 and 169.78 is: 254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.57 : 774.92 = 169.78 : x
  2. Step 2: Convert to fraction form
    516.57/774.92 = 169.78/x
  3. Step 3: Cross multiply
    516.57x = 774.92 × 169.78
  4. Step 4: Simplify right side
    516.57x = 131,565.92
  5. Step 5: Solve for x
    x = 131,565.92/516.57
  6. Step 6: Final answer
    x = 254.69

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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.