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Finding the Fourth Proportional to 512.20, 767.82 and 187.33

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Solution

The fourth proportional to 512.20, 767.82 and 187.33 is: 280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.20 : 767.82 = 187.33 : x
  2. Step 2: Convert to fraction form
    512.20/767.82 = 187.33/x
  3. Step 3: Cross multiply
    512.20x = 767.82 × 187.33
  4. Step 4: Simplify right side
    512.20x = 143,835.72
  5. Step 5: Solve for x
    x = 143,835.72/512.20
  6. Step 6: Final answer
    x = 280.82

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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.