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Finding the Fourth Proportional to 381.20, 571.84 and 164.80

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Solution

The fourth proportional to 381.20, 571.84 and 164.80 is: 247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.20 : 571.84 = 164.80 : x
  2. Step 2: Convert to fraction form
    381.20/571.84 = 164.80/x
  3. Step 3: Cross multiply
    381.20x = 571.84 × 164.80
  4. Step 4: Simplify right side
    381.20x = 94,239.23
  5. Step 5: Solve for x
    x = 94,239.23/381.20
  6. Step 6: Final answer
    x = 247.22

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