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Finding the Fourth Proportional to 512.06, 768.10 and 187.44

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Solution

The fourth proportional to 512.06, 768.10 and 187.44 is: 281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.06 : 768.10 = 187.44 : x
  2. Step 2: Convert to fraction form
    512.06/768.10 = 187.44/x
  3. Step 3: Cross multiply
    512.06x = 768.10 × 187.44
  4. Step 4: Simplify right side
    512.06x = 143,972.66
  5. Step 5: Solve for x
    x = 143,972.66/512.06
  6. Step 6: Final answer
    x = 281.16

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