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Finding the Fourth Proportional to 234.39, 323.61 and 203.07

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Solution

The fourth proportional to 234.39, 323.61 and 203.07 is: 280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.39 : 323.61 = 203.07 : x
  2. Step 2: Convert to fraction form
    234.39/323.61 = 203.07/x
  3. Step 3: Cross multiply
    234.39x = 323.61 × 203.07
  4. Step 4: Simplify right side
    234.39x = 65,715.48
  5. Step 5: Solve for x
    x = 65,715.48/234.39
  6. Step 6: Final answer
    x = 280.37

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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.