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Finding the Fourth Proportional to 512.02, 768.24 and 187.66

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Solution

The fourth proportional to 512.02, 768.24 and 187.66 is: 281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.02 : 768.24 = 187.66 : x
  2. Step 2: Convert to fraction form
    512.02/768.24 = 187.66/x
  3. Step 3: Cross multiply
    512.02x = 768.24 × 187.66
  4. Step 4: Simplify right side
    512.02x = 144,167.92
  5. Step 5: Solve for x
    x = 144,167.92/512.02
  6. Step 6: Final answer
    x = 281.57

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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.