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Finding the Fourth Proportional to 512.51, 768.72 and 165.86

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Solution

The fourth proportional to 512.51, 768.72 and 165.86 is: 248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.51 : 768.72 = 165.86 : x
  2. Step 2: Convert to fraction form
    512.51/768.72 = 165.86/x
  3. Step 3: Cross multiply
    512.51x = 768.72 × 165.86
  4. Step 4: Simplify right side
    512.51x = 127,499.90
  5. Step 5: Solve for x
    x = 127,499.90/512.51
  6. Step 6: Final answer
    x = 248.78

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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.