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Finding the Fourth Proportional to 512.25, 768.36 and 187.61

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Solution

The fourth proportional to 512.25, 768.36 and 187.61 is: 281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.25 : 768.36 = 187.61 : x
  2. Step 2: Convert to fraction form
    512.25/768.36 = 187.61/x
  3. Step 3: Cross multiply
    512.25x = 768.36 × 187.61
  4. Step 4: Simplify right side
    512.25x = 144,152.02
  5. Step 5: Solve for x
    x = 144,152.02/512.25
  6. Step 6: Final answer
    x = 281.41

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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.