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Finding the Fourth Proportional to 516.38, 774.66 and 169.70

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Solution

The fourth proportional to 516.38, 774.66 and 169.70 is: 254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.38 : 774.66 = 169.70 : x
  2. Step 2: Convert to fraction form
    516.38/774.66 = 169.70/x
  3. Step 3: Cross multiply
    516.38x = 774.66 × 169.70
  4. Step 4: Simplify right side
    516.38x = 131,456.57
  5. Step 5: Solve for x
    x = 131,456.57/516.38
  6. Step 6: Final answer
    x = 254.58

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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.