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Finding the Fourth Proportional to 392.72, 589.16 and 146.00

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Solution

The fourth proportional to 392.72, 589.16 and 146.00 is: 219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.72 : 589.16 = 146.00 : x
  2. Step 2: Convert to fraction form
    392.72/589.16 = 146.00/x
  3. Step 3: Cross multiply
    392.72x = 589.16 × 146.00
  4. Step 4: Simplify right side
    392.72x = 86,013.68
  5. Step 5: Solve for x
    x = 86,013.68/392.72
  6. Step 6: Final answer
    x = 219.02

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