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Finding the Fourth Proportional to 512.41, 768.46 and 165.66

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Solution

The fourth proportional to 512.41, 768.46 and 165.66 is: 248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.41 : 768.46 = 165.66 : x
  2. Step 2: Convert to fraction form
    512.41/768.46 = 165.66/x
  3. Step 3: Cross multiply
    512.41x = 768.46 × 165.66
  4. Step 4: Simplify right side
    512.41x = 127,303.08
  5. Step 5: Solve for x
    x = 127,303.08/512.41
  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.