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Finding the Fourth Proportional to 378.72, 568.16 and 196.16

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Solution

The fourth proportional to 378.72, 568.16 and 196.16 is: 294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.72 : 568.16 = 196.16 : x
  2. Step 2: Convert to fraction form
    378.72/568.16 = 196.16/x
  3. Step 3: Cross multiply
    378.72x = 568.16 × 196.16
  4. Step 4: Simplify right side
    378.72x = 111,450.27
  5. Step 5: Solve for x
    x = 111,450.27/378.72
  6. Step 6: Final answer
    x = 294.28

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