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Finding the Fourth Proportional to 234.87, 323.30 and 203.34

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Solution

The fourth proportional to 234.87, 323.30 and 203.34 is: 279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.87 : 323.30 = 203.34 : x
  2. Step 2: Convert to fraction form
    234.87/323.30 = 203.34/x
  3. Step 3: Cross multiply
    234.87x = 323.30 × 203.34
  4. Step 4: Simplify right side
    234.87x = 65,739.82
  5. Step 5: Solve for x
    x = 65,739.82/234.87
  6. Step 6: Final answer
    x = 279.90

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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.