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Finding the Fourth Proportional to 511.94, 767.81 and 165.22

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Solution

The fourth proportional to 511.94, 767.81 and 165.22 is: 247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.94 : 767.81 = 165.22 : x
  2. Step 2: Convert to fraction form
    511.94/767.81 = 165.22/x
  3. Step 3: Cross multiply
    511.94x = 767.81 × 165.22
  4. Step 4: Simplify right side
    511.94x = 126,856.06
  5. Step 5: Solve for x
    x = 126,856.06/511.94
  6. Step 6: Final answer
    x = 247.79

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