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Finding the Fourth Proportional to 165.53, 248.75 and 159.46

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Solution

The fourth proportional to 165.53, 248.75 and 159.46 is: 239.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.53 : 248.75 = 159.46 : x
  2. Step 2: Convert to fraction form
    165.53/248.75 = 159.46/x
  3. Step 3: Cross multiply
    165.53x = 248.75 × 159.46
  4. Step 4: Simplify right side
    165.53x = 39,665.68
  5. Step 5: Solve for x
    x = 39,665.68/165.53
  6. Step 6: Final answer
    x = 239.63

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