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Finding the Fourth Proportional to 205.38, 283.38 and 122.46

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Solution

The fourth proportional to 205.38, 283.38 and 122.46 is: 168.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 283.38 = 122.46 : x
  2. Step 2: Convert to fraction form
    205.38/283.38 = 122.46/x
  3. Step 3: Cross multiply
    205.38x = 283.38 × 122.46
  4. Step 4: Simplify right side
    205.38x = 34,701.65
  5. Step 5: Solve for x
    x = 34,701.65/205.38
  6. Step 6: Final answer
    x = 168.96

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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.