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Finding the Fourth Proportional to 234.50, 323.95 and 206.70

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Solution

The fourth proportional to 234.50, 323.95 and 206.70 is: 285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.50 : 323.95 = 206.70 : x
  2. Step 2: Convert to fraction form
    234.50/323.95 = 206.70/x
  3. Step 3: Cross multiply
    234.50x = 323.95 × 206.70
  4. Step 4: Simplify right side
    234.50x = 66,960.94
  5. Step 5: Solve for x
    x = 66,960.94/234.50
  6. Step 6: Final answer
    x = 285.55

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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.