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Finding the Fourth Proportional to 278.08, 416.82 and 115.66

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Solution

The fourth proportional to 278.08, 416.82 and 115.66 is: 173.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.08 : 416.82 = 115.66 : x
  2. Step 2: Convert to fraction form
    278.08/416.82 = 115.66/x
  3. Step 3: Cross multiply
    278.08x = 416.82 × 115.66
  4. Step 4: Simplify right side
    278.08x = 48,209.40
  5. Step 5: Solve for x
    x = 48,209.40/278.08
  6. Step 6: Final answer
    x = 173.37

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