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Finding the Fourth Proportional to 278.28, 384.02 and 167.76

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Solution

The fourth proportional to 278.28, 384.02 and 167.76 is: 231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.28 : 384.02 = 167.76 : x
  2. Step 2: Convert to fraction form
    278.28/384.02 = 167.76/x
  3. Step 3: Cross multiply
    278.28x = 384.02 × 167.76
  4. Step 4: Simplify right side
    278.28x = 64,423.20
  5. Step 5: Solve for x
    x = 64,423.20/278.28
  6. Step 6: Final answer
    x = 231.50

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