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Finding the Fourth Proportional to 159.82, 239.76 and 78.64

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Solution

The fourth proportional to 159.82, 239.76 and 78.64 is: 117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.82 : 239.76 = 78.64 : x
  2. Step 2: Convert to fraction form
    159.82/239.76 = 78.64/x
  3. Step 3: Cross multiply
    159.82x = 239.76 × 78.64
  4. Step 4: Simplify right side
    159.82x = 18,854.73
  5. Step 5: Solve for x
    x = 18,854.73/159.82
  6. Step 6: Final answer
    x = 117.97

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