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Finding the Fourth Proportional to 512.20, 767.88 and 165.40

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Solution

The fourth proportional to 512.20, 767.88 and 165.40 is: 247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.20 : 767.88 = 165.40 : x
  2. Step 2: Convert to fraction form
    512.20/767.88 = 165.40/x
  3. Step 3: Cross multiply
    512.20x = 767.88 × 165.40
  4. Step 4: Simplify right side
    512.20x = 127,007.35
  5. Step 5: Solve for x
    x = 127,007.35/512.20
  6. Step 6: Final answer
    x = 247.96

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