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Finding the Fourth Proportional to 512.93, 769.41 and 142.76

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Solution

The fourth proportional to 512.93, 769.41 and 142.76 is: 214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.93 : 769.41 = 142.76 : x
  2. Step 2: Convert to fraction form
    512.93/769.41 = 142.76/x
  3. Step 3: Cross multiply
    512.93x = 769.41 × 142.76
  4. Step 4: Simplify right side
    512.93x = 109,842.90
  5. Step 5: Solve for x
    x = 109,842.90/512.93
  6. Step 6: Final answer
    x = 214.15

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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.