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Finding the Fourth Proportional to 175.94, 263.81 and 165.75

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Solution

The fourth proportional to 175.94, 263.81 and 165.75 is: 248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.94 : 263.81 = 165.75 : x
  2. Step 2: Convert to fraction form
    175.94/263.81 = 165.75/x
  3. Step 3: Cross multiply
    175.94x = 263.81 × 165.75
  4. Step 4: Simplify right side
    175.94x = 43,726.92
  5. Step 5: Solve for x
    x = 43,726.92/175.94
  6. Step 6: Final answer
    x = 248.53

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