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Finding the Fourth Proportional to 278.92, 384.76 and 201.36

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Solution

The fourth proportional to 278.92, 384.76 and 201.36 is: 277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.92 : 384.76 = 201.36 : x
  2. Step 2: Convert to fraction form
    278.92/384.76 = 201.36/x
  3. Step 3: Cross multiply
    278.92x = 384.76 × 201.36
  4. Step 4: Simplify right side
    278.92x = 77,475.27
  5. Step 5: Solve for x
    x = 77,475.27/278.92
  6. Step 6: Final answer
    x = 277.77

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