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Finding the Fourth Proportional to 205.74, 283.86 and 122.82

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Solution

The fourth proportional to 205.74, 283.86 and 122.82 is: 169.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.74 : 283.86 = 122.82 : x
  2. Step 2: Convert to fraction form
    205.74/283.86 = 122.82/x
  3. Step 3: Cross multiply
    205.74x = 283.86 × 122.82
  4. Step 4: Simplify right side
    205.74x = 34,863.69
  5. Step 5: Solve for x
    x = 34,863.69/205.74
  6. Step 6: Final answer
    x = 169.46

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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.