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Finding the Fourth Proportional to 513.31, 769.98 and 143.14

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Solution

The fourth proportional to 513.31, 769.98 and 143.14 is: 214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.31 : 769.98 = 143.14 : x
  2. Step 2: Convert to fraction form
    513.31/769.98 = 143.14/x
  3. Step 3: Cross multiply
    513.31x = 769.98 × 143.14
  4. Step 4: Simplify right side
    513.31x = 110,213.55
  5. Step 5: Solve for x
    x = 110,213.55/513.31
  6. Step 6: Final answer
    x = 214.71

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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.