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Finding the Fourth Proportional to 512.66, 768.63 and 165.89

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Solution

The fourth proportional to 512.66, 768.63 and 165.89 is: 248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.66 : 768.63 = 165.89 : x
  2. Step 2: Convert to fraction form
    512.66/768.63 = 165.89/x
  3. Step 3: Cross multiply
    512.66x = 768.63 × 165.89
  4. Step 4: Simplify right side
    512.66x = 127,508.03
  5. Step 5: Solve for x
    x = 127,508.03/512.66
  6. Step 6: Final answer
    x = 248.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.