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Finding the Fourth Proportional to 280.08, 419.96 and 171.92

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Solution

The fourth proportional to 280.08, 419.96 and 171.92 is: 257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.08 : 419.96 = 171.92 : x
  2. Step 2: Convert to fraction form
    280.08/419.96 = 171.92/x
  3. Step 3: Cross multiply
    280.08x = 419.96 × 171.92
  4. Step 4: Simplify right side
    280.08x = 72,199.52
  5. Step 5: Solve for x
    x = 72,199.52/280.08
  6. Step 6: Final answer
    x = 257.78

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