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Finding the Fourth Proportional to 516.11, 773.89 and 169.43

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Solution

The fourth proportional to 516.11, 773.89 and 169.43 is: 254.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.11 : 773.89 = 169.43 : x
  2. Step 2: Convert to fraction form
    516.11/773.89 = 169.43/x
  3. Step 3: Cross multiply
    516.11x = 773.89 × 169.43
  4. Step 4: Simplify right side
    516.11x = 131,115.89
  5. Step 5: Solve for x
    x = 131,115.89/516.11
  6. Step 6: Final answer
    x = 254.05

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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.