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Finding the Fourth Proportional to 322.62, 483.94 and 185.78

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Solution

The fourth proportional to 322.62, 483.94 and 185.78 is: 278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.62 : 483.94 = 185.78 : x
  2. Step 2: Convert to fraction form
    322.62/483.94 = 185.78/x
  3. Step 3: Cross multiply
    322.62x = 483.94 × 185.78
  4. Step 4: Simplify right side
    322.62x = 89,906.37
  5. Step 5: Solve for x
    x = 89,906.37/322.62
  6. Step 6: Final answer
    x = 278.68

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