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Finding the Fourth Proportional to 278.91, 418.64 and 206.55

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Solution

The fourth proportional to 278.91, 418.64 and 206.55 is: 310.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.91 : 418.64 = 206.55 : x
  2. Step 2: Convert to fraction form
    278.91/418.64 = 206.55/x
  3. Step 3: Cross multiply
    278.91x = 418.64 × 206.55
  4. Step 4: Simplify right side
    278.91x = 86,469.06
  5. Step 5: Solve for x
    x = 86,469.06/278.91
  6. Step 6: Final answer
    x = 310.02

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