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Finding the Fourth Proportional to 278.75, 418.05 and 175.88

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Solution

The fourth proportional to 278.75, 418.05 and 175.88 is: 263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.75 : 418.05 = 175.88 : x
  2. Step 2: Convert to fraction form
    278.75/418.05 = 175.88/x
  3. Step 3: Cross multiply
    278.75x = 418.05 × 175.88
  4. Step 4: Simplify right side
    278.75x = 73,527.68
  5. Step 5: Solve for x
    x = 73,527.68/278.75
  6. Step 6: Final answer
    x = 263.77

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