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Finding the Fourth Proportional to 234.28, 323.56 and 204.68

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Solution

The fourth proportional to 234.28, 323.56 and 204.68 is: 282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.28 : 323.56 = 204.68 : x
  2. Step 2: Convert to fraction form
    234.28/323.56 = 204.68/x
  3. Step 3: Cross multiply
    234.28x = 323.56 × 204.68
  4. Step 4: Simplify right side
    234.28x = 66,226.26
  5. Step 5: Solve for x
    x = 66,226.26/234.28
  6. Step 6: Final answer
    x = 282.68

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Why These Related Problems?

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