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Finding the Fourth Proportional to 234.62, 323.79 and 205.46

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Solution

The fourth proportional to 234.62, 323.79 and 205.46 is: 283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.62 : 323.79 = 205.46 : x
  2. Step 2: Convert to fraction form
    234.62/323.79 = 205.46/x
  3. Step 3: Cross multiply
    234.62x = 323.79 × 205.46
  4. Step 4: Simplify right side
    234.62x = 66,525.89
  5. Step 5: Solve for x
    x = 66,525.89/234.62
  6. Step 6: Final answer
    x = 283.55

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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.