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Finding the Fourth Proportional to 516.46, 774.68 and 131.71

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Solution

The fourth proportional to 516.46, 774.68 and 131.71 is: 197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.46 : 774.68 = 131.71 : x
  2. Step 2: Convert to fraction form
    516.46/774.68 = 131.71/x
  3. Step 3: Cross multiply
    516.46x = 774.68 × 131.71
  4. Step 4: Simplify right side
    516.46x = 102,033.10
  5. Step 5: Solve for x
    x = 102,033.10/516.46
  6. Step 6: Final answer
    x = 197.56

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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.