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Finding the Fourth Proportional to 205.69, 283.84 and 122.83

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Solution

The fourth proportional to 205.69, 283.84 and 122.83 is: 169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.69 : 283.84 = 122.83 : x
  2. Step 2: Convert to fraction form
    205.69/283.84 = 122.83/x
  3. Step 3: Cross multiply
    205.69x = 283.84 × 122.83
  4. Step 4: Simplify right side
    205.69x = 34,864.07
  5. Step 5: Solve for x
    x = 34,864.07/205.69
  6. Step 6: Final answer
    x = 169.50

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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.