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Finding the Fourth Proportional to 512.51, 768.24 and 187.61

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Solution

The fourth proportional to 512.51, 768.24 and 187.61 is: 281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.51 : 768.24 = 187.61 : x
  2. Step 2: Convert to fraction form
    512.51/768.24 = 187.61/x
  3. Step 3: Cross multiply
    512.51x = 768.24 × 187.61
  4. Step 4: Simplify right side
    512.51x = 144,125.67
  5. Step 5: Solve for x
    x = 144,125.67/512.51
  6. Step 6: Final answer
    x = 281.22

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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.