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Finding the Fourth Proportional to 205.92, 283.80 and 164.61

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Solution

The fourth proportional to 205.92, 283.80 and 164.61 is: 226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.92 : 283.80 = 164.61 : x
  2. Step 2: Convert to fraction form
    205.92/283.80 = 164.61/x
  3. Step 3: Cross multiply
    205.92x = 283.80 × 164.61
  4. Step 4: Simplify right side
    205.92x = 46,716.32
  5. Step 5: Solve for x
    x = 46,716.32/205.92
  6. Step 6: Final answer
    x = 226.87

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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.