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Finding the Fourth Proportional to 278.55, 416.84 and 180.99

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Solution

The fourth proportional to 278.55, 416.84 and 180.99 is: 270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.55 : 416.84 = 180.99 : x
  2. Step 2: Convert to fraction form
    278.55/416.84 = 180.99/x
  3. Step 3: Cross multiply
    278.55x = 416.84 × 180.99
  4. Step 4: Simplify right side
    278.55x = 75,442.97
  5. Step 5: Solve for x
    x = 75,442.97/278.55
  6. Step 6: Final answer
    x = 270.84

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