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Finding the Fourth Proportional to 274.08, 378.40 and 204.96

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Solution

The fourth proportional to 274.08, 378.40 and 204.96 is: 282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.08 : 378.40 = 204.96 : x
  2. Step 2: Convert to fraction form
    274.08/378.40 = 204.96/x
  3. Step 3: Cross multiply
    274.08x = 378.40 × 204.96
  4. Step 4: Simplify right side
    274.08x = 77,556.86
  5. Step 5: Solve for x
    x = 77,556.86/274.08
  6. Step 6: Final answer
    x = 282.97

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