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Finding the Fourth Proportional to 296, 408.56 and 204

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Solution

The fourth proportional to 296, 408.56 and 204 is: 281.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    296 : 408.56 = 204 : x
  2. Step 2: Convert to fraction form
    296/408.56 = 204/x
  3. Step 3: Cross multiply
    296x = 408.56 × 204
  4. Step 4: Simplify right side
    296x = 83,346.24
  5. Step 5: Solve for x
    x = 83,346.24/296
  6. Step 6: Final answer
    x = 281.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.