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Finding the Fourth Proportional to 204.52, 306.86 and 96.31

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Solution

The fourth proportional to 204.52, 306.86 and 96.31 is: 144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.52 : 306.86 = 96.31 : x
  2. Step 2: Convert to fraction form
    204.52/306.86 = 96.31/x
  3. Step 3: Cross multiply
    204.52x = 306.86 × 96.31
  4. Step 4: Simplify right side
    204.52x = 29,552.68
  5. Step 5: Solve for x
    x = 29,552.68/204.52
  6. Step 6: Final answer
    x = 144.50

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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.