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Finding the Fourth Proportional to 234.40, 323.31 and 205.24

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Solution

The fourth proportional to 234.40, 323.31 and 205.24 is: 283.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.40 : 323.31 = 205.24 : x
  2. Step 2: Convert to fraction form
    234.40/323.31 = 205.24/x
  3. Step 3: Cross multiply
    234.40x = 323.31 × 205.24
  4. Step 4: Simplify right side
    234.40x = 66,356.14
  5. Step 5: Solve for x
    x = 66,356.14/234.40
  6. Step 6: Final answer
    x = 283.09

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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.