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Finding the Fourth Proportional to 381.44, 571.80 and 165.18

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Solution

The fourth proportional to 381.44, 571.80 and 165.18 is: 247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.44 : 571.80 = 165.18 : x
  2. Step 2: Convert to fraction form
    381.44/571.80 = 165.18/x
  3. Step 3: Cross multiply
    381.44x = 571.80 × 165.18
  4. Step 4: Simplify right side
    381.44x = 94,449.92
  5. Step 5: Solve for x
    x = 94,449.92/381.44
  6. Step 6: Final answer
    x = 247.61

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