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Finding the Fourth Proportional to 205.09, 283.07 and 122.20

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Solution

The fourth proportional to 205.09, 283.07 and 122.20 is: 168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.09 : 283.07 = 122.20 : x
  2. Step 2: Convert to fraction form
    205.09/283.07 = 122.20/x
  3. Step 3: Cross multiply
    205.09x = 283.07 × 122.20
  4. Step 4: Simplify right side
    205.09x = 34,590.75
  5. Step 5: Solve for x
    x = 34,590.75/205.09
  6. Step 6: Final answer
    x = 168.66

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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.