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Finding the Fourth Proportional to 278.43, 416.82 and 175.83

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Solution

The fourth proportional to 278.43, 416.82 and 175.83 is: 263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.43 : 416.82 = 175.83 : x
  2. Step 2: Convert to fraction form
    278.43/416.82 = 175.83/x
  3. Step 3: Cross multiply
    278.43x = 416.82 × 175.83
  4. Step 4: Simplify right side
    278.43x = 73,289.46
  5. Step 5: Solve for x
    x = 73,289.46/278.43
  6. Step 6: Final answer
    x = 263.22

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