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Finding the Fourth Proportional to 516.69, 775.11 and 169.95

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Solution

The fourth proportional to 516.69, 775.11 and 169.95 is: 254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.69 : 775.11 = 169.95 : x
  2. Step 2: Convert to fraction form
    516.69/775.11 = 169.95/x
  3. Step 3: Cross multiply
    516.69x = 775.11 × 169.95
  4. Step 4: Simplify right side
    516.69x = 131,729.13
  5. Step 5: Solve for x
    x = 131,729.13/516.69
  6. Step 6: Final answer
    x = 254.95

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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.