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Finding the Fourth Proportional to 225.39, 338.16 and 203.97

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Solution

The fourth proportional to 225.39, 338.16 and 203.97 is: 306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.39 : 338.16 = 203.97 : x
  2. Step 2: Convert to fraction form
    225.39/338.16 = 203.97/x
  3. Step 3: Cross multiply
    225.39x = 338.16 × 203.97
  4. Step 4: Simplify right side
    225.39x = 68,974.50
  5. Step 5: Solve for x
    x = 68,974.50/225.39
  6. Step 6: Final answer
    x = 306.02

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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.