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Finding the Fourth Proportional to 119.34, 178.89 and 78.78

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Solution

The fourth proportional to 119.34, 178.89 and 78.78 is: 118.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.34 : 178.89 = 78.78 : x
  2. Step 2: Convert to fraction form
    119.34/178.89 = 78.78/x
  3. Step 3: Cross multiply
    119.34x = 178.89 × 78.78
  4. Step 4: Simplify right side
    119.34x = 14,092.95
  5. Step 5: Solve for x
    x = 14,092.95/119.34
  6. Step 6: Final answer
    x = 118.09

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