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Finding the Fourth Proportional to 234.49, 323.74 and 208.54

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Solution

The fourth proportional to 234.49, 323.74 and 208.54 is: 287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.49 : 323.74 = 208.54 : x
  2. Step 2: Convert to fraction form
    234.49/323.74 = 208.54/x
  3. Step 3: Cross multiply
    234.49x = 323.74 × 208.54
  4. Step 4: Simplify right side
    234.49x = 67,512.93
  5. Step 5: Solve for x
    x = 67,512.93/234.49
  6. Step 6: Final answer
    x = 287.91

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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.