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Finding the Fourth Proportional to 490.31, 735.21 and 165.57

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Solution

The fourth proportional to 490.31, 735.21 and 165.57 is: 248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.31 : 735.21 = 165.57 : x
  2. Step 2: Convert to fraction form
    490.31/735.21 = 165.57/x
  3. Step 3: Cross multiply
    490.31x = 735.21 × 165.57
  4. Step 4: Simplify right side
    490.31x = 121,728.72
  5. Step 5: Solve for x
    x = 121,728.72/490.31
  6. Step 6: Final answer
    x = 248.27

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