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Finding the Fourth Proportional to 205.29, 283.32 and 122.42

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Solution

The fourth proportional to 205.29, 283.32 and 122.42 is: 168.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.29 : 283.32 = 122.42 : x
  2. Step 2: Convert to fraction form
    205.29/283.32 = 122.42/x
  3. Step 3: Cross multiply
    205.29x = 283.32 × 122.42
  4. Step 4: Simplify right side
    205.29x = 34,684.74
  5. Step 5: Solve for x
    x = 34,684.74/205.29
  6. Step 6: Final answer
    x = 168.95

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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.