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Finding the Fourth Proportional to 381.54, 571.41 and 198.68

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Solution

The fourth proportional to 381.54, 571.41 and 198.68 is: 297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.54 : 571.41 = 198.68 : x
  2. Step 2: Convert to fraction form
    381.54/571.41 = 198.68/x
  3. Step 3: Cross multiply
    381.54x = 571.41 × 198.68
  4. Step 4: Simplify right side
    381.54x = 113,527.74
  5. Step 5: Solve for x
    x = 113,527.74/381.54
  6. Step 6: Final answer
    x = 297.55

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