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Finding the Fourth Proportional to 204.57, 306.80 and 96.33

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Solution

The fourth proportional to 204.57, 306.80 and 96.33 is: 144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.57 : 306.80 = 96.33 : x
  2. Step 2: Convert to fraction form
    204.57/306.80 = 96.33/x
  3. Step 3: Cross multiply
    204.57x = 306.80 × 96.33
  4. Step 4: Simplify right side
    204.57x = 29,553.56
  5. Step 5: Solve for x
    x = 29,553.56/204.57
  6. Step 6: Final answer
    x = 144.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.