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Finding the Fourth Proportional to 165.78, 248.15 and 116.97

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Solution

The fourth proportional to 165.78, 248.15 and 116.97 is: 175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.78 : 248.15 = 116.97 : x
  2. Step 2: Convert to fraction form
    165.78/248.15 = 116.97/x
  3. Step 3: Cross multiply
    165.78x = 248.15 × 116.97
  4. Step 4: Simplify right side
    165.78x = 29,025.52
  5. Step 5: Solve for x
    x = 29,025.52/165.78
  6. Step 6: Final answer
    x = 175.08

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