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Finding the Fourth Proportional to 489.78, 734.20 and 164.97

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Solution

The fourth proportional to 489.78, 734.20 and 164.97 is: 247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.78 : 734.20 = 164.97 : x
  2. Step 2: Convert to fraction form
    489.78/734.20 = 164.97/x
  3. Step 3: Cross multiply
    489.78x = 734.20 × 164.97
  4. Step 4: Simplify right side
    489.78x = 121,120.56
  5. Step 5: Solve for x
    x = 121,120.56/489.78
  6. Step 6: Final answer
    x = 247.30

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