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Finding the Fourth Proportional to 205.49, 283.51 and 163.98

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Solution

The fourth proportional to 205.49, 283.51 and 163.98 is: 226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.49 : 283.51 = 163.98 : x
  2. Step 2: Convert to fraction form
    205.49/283.51 = 163.98/x
  3. Step 3: Cross multiply
    205.49x = 283.51 × 163.98
  4. Step 4: Simplify right side
    205.49x = 46,489.97
  5. Step 5: Solve for x
    x = 46,489.97/205.49
  6. Step 6: Final answer
    x = 226.24

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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.