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Finding the Fourth Proportional to 278.88, 384.24 and 229.69

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Solution

The fourth proportional to 278.88, 384.24 and 229.69 is: 316.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.88 : 384.24 = 229.69 : x
  2. Step 2: Convert to fraction form
    278.88/384.24 = 229.69/x
  3. Step 3: Cross multiply
    278.88x = 384.24 × 229.69
  4. Step 4: Simplify right side
    278.88x = 88,256.09
  5. Step 5: Solve for x
    x = 88,256.09/278.88
  6. Step 6: Final answer
    x = 316.47

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