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Finding the Fourth Proportional to 512.02, 768.03 and 187.21

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Solution

The fourth proportional to 512.02, 768.03 and 187.21 is: 280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.02 : 768.03 = 187.21 : x
  2. Step 2: Convert to fraction form
    512.02/768.03 = 187.21/x
  3. Step 3: Cross multiply
    512.02x = 768.03 × 187.21
  4. Step 4: Simplify right side
    512.02x = 143,784.21
  5. Step 5: Solve for x
    x = 143,784.21/512.02
  6. Step 6: Final answer
    x = 280.82

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