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Finding the Fourth Proportional to 489.78, 734.41 and 165.10

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Solution

The fourth proportional to 489.78, 734.41 and 165.10 is: 247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.78 : 734.41 = 165.10 : x
  2. Step 2: Convert to fraction form
    489.78/734.41 = 165.10/x
  3. Step 3: Cross multiply
    489.78x = 734.41 × 165.10
  4. Step 4: Simplify right side
    489.78x = 121,251.09
  5. Step 5: Solve for x
    x = 121,251.09/489.78
  6. Step 6: Final answer
    x = 247.56

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