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Finding the Fourth Proportional to 296, 408.08 and 208.52

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Solution

The fourth proportional to 296, 408.08 and 208.52 is: 287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296 : 408.08 = 208.52 : x
  2. Step 2: Convert to fraction form
    296/408.08 = 208.52/x
  3. Step 3: Cross multiply
    296x = 408.08 × 208.52
  4. Step 4: Simplify right side
    296x = 85,092.84
  5. Step 5: Solve for x
    x = 85,092.84/296
  6. Step 6: Final answer
    x = 287.48

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