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Finding the Fourth Proportional to 205.46, 283.59 and 122.59

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Solution

The fourth proportional to 205.46, 283.59 and 122.59 is: 169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.46 : 283.59 = 122.59 : x
  2. Step 2: Convert to fraction form
    205.46/283.59 = 122.59/x
  3. Step 3: Cross multiply
    205.46x = 283.59 × 122.59
  4. Step 4: Simplify right side
    205.46x = 34,765.30
  5. Step 5: Solve for x
    x = 34,765.30/205.46
  6. Step 6: Final answer
    x = 169.21

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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.