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Finding the Fourth Proportional to 278.64, 417.68 and 96

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Solution

The fourth proportional to 278.64, 417.68 and 96 is: 143.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.64 : 417.68 = 96 : x
  2. Step 2: Convert to fraction form
    278.64/417.68 = 96/x
  3. Step 3: Cross multiply
    278.64x = 417.68 × 96
  4. Step 4: Simplify right side
    278.64x = 40,097.28
  5. Step 5: Solve for x
    x = 40,097.28/278.64
  6. Step 6: Final answer
    x = 143.90

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