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Finding the Fourth Proportional to 378.24, 566.85 and 195.25

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Solution

The fourth proportional to 378.24, 566.85 and 195.25 is: 292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.24 : 566.85 = 195.25 : x
  2. Step 2: Convert to fraction form
    378.24/566.85 = 195.25/x
  3. Step 3: Cross multiply
    378.24x = 566.85 × 195.25
  4. Step 4: Simplify right side
    378.24x = 110,677.46
  5. Step 5: Solve for x
    x = 110,677.46/378.24
  6. Step 6: Final answer
    x = 292.61

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