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Finding the Fourth Proportional to 516.34, 774.25 and 169.66

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Solution

The fourth proportional to 516.34, 774.25 and 169.66 is: 254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.34 : 774.25 = 169.66 : x
  2. Step 2: Convert to fraction form
    516.34/774.25 = 169.66/x
  3. Step 3: Cross multiply
    516.34x = 774.25 × 169.66
  4. Step 4: Simplify right side
    516.34x = 131,359.26
  5. Step 5: Solve for x
    x = 131,359.26/516.34
  6. Step 6: Final answer
    x = 254.40

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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.