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Finding the Fourth Proportional to 512.30, 768.49 and 165.62

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Solution

The fourth proportional to 512.30, 768.49 and 165.62 is: 248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.30 : 768.49 = 165.62 : x
  2. Step 2: Convert to fraction form
    512.30/768.49 = 165.62/x
  3. Step 3: Cross multiply
    512.30x = 768.49 × 165.62
  4. Step 4: Simplify right side
    512.30x = 127,277.31
  5. Step 5: Solve for x
    x = 127,277.31/512.30
  6. Step 6: Final answer
    x = 248.44

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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.