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Finding the Fourth Proportional to 205.12, 283.03 and 122.23

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Solution

The fourth proportional to 205.12, 283.03 and 122.23 is: 168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.12 : 283.03 = 122.23 : x
  2. Step 2: Convert to fraction form
    205.12/283.03 = 122.23/x
  3. Step 3: Cross multiply
    205.12x = 283.03 × 122.23
  4. Step 4: Simplify right side
    205.12x = 34,594.76
  5. Step 5: Solve for x
    x = 34,594.76/205.12
  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.