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Finding the Fourth Proportional to 165.15, 247.83 and 78.48

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Solution

The fourth proportional to 165.15, 247.83 and 78.48 is: 117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.15 : 247.83 = 78.48 : x
  2. Step 2: Convert to fraction form
    165.15/247.83 = 78.48/x
  3. Step 3: Cross multiply
    165.15x = 247.83 × 78.48
  4. Step 4: Simplify right side
    165.15x = 19,449.70
  5. Step 5: Solve for x
    x = 19,449.70/165.15
  6. Step 6: Final answer
    x = 117.77

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