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Finding the Fourth Proportional to 490.41, 735.72 and 165.77

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Solution

The fourth proportional to 490.41, 735.72 and 165.77 is: 248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.41 : 735.72 = 165.77 : x
  2. Step 2: Convert to fraction form
    490.41/735.72 = 165.77/x
  3. Step 3: Cross multiply
    490.41x = 735.72 × 165.77
  4. Step 4: Simplify right side
    490.41x = 121,958.47
  5. Step 5: Solve for x
    x = 121,958.47/490.41
  6. Step 6: Final answer
    x = 248.69

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