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Finding the Fourth Proportional to 392.82, 589.16 and 149.36

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Solution

The fourth proportional to 392.82, 589.16 and 149.36 is: 224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.82 : 589.16 = 149.36 : x
  2. Step 2: Convert to fraction form
    392.82/589.16 = 149.36/x
  3. Step 3: Cross multiply
    392.82x = 589.16 × 149.36
  4. Step 4: Simplify right side
    392.82x = 87,996.94
  5. Step 5: Solve for x
    x = 87,996.94/392.82
  6. Step 6: Final answer
    x = 224.01

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