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Finding the Fourth Proportional to 516.26, 774.38 and 131.50

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Solution

The fourth proportional to 516.26, 774.38 and 131.50 is: 197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.26 : 774.38 = 131.50 : x
  2. Step 2: Convert to fraction form
    516.26/774.38 = 131.50/x
  3. Step 3: Cross multiply
    516.26x = 774.38 × 131.50
  4. Step 4: Simplify right side
    516.26x = 101,830.97
  5. Step 5: Solve for x
    x = 101,830.97/516.26
  6. Step 6: Final answer
    x = 197.25

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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.