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Finding the Fourth Proportional to 159.18, 238.77 and 78.02

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Solution

The fourth proportional to 159.18, 238.77 and 78.02 is: 117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.18 : 238.77 = 78.02 : x
  2. Step 2: Convert to fraction form
    159.18/238.77 = 78.02/x
  3. Step 3: Cross multiply
    159.18x = 238.77 × 78.02
  4. Step 4: Simplify right side
    159.18x = 18,627.64
  5. Step 5: Solve for x
    x = 18,627.64/159.18
  6. Step 6: Final answer
    x = 117.02

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