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Finding the Fourth Proportional to 278.52, 384.18 and 204.84

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Solution

The fourth proportional to 278.52, 384.18 and 204.84 is: 282.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.52 : 384.18 = 204.84 : x
  2. Step 2: Convert to fraction form
    278.52/384.18 = 204.84/x
  3. Step 3: Cross multiply
    278.52x = 384.18 × 204.84
  4. Step 4: Simplify right side
    278.52x = 78,695.43
  5. Step 5: Solve for x
    x = 78,695.43/278.52
  6. Step 6: Final answer
    x = 282.55

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