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Finding the Fourth Proportional to 205.38, 282.66 and 163.80

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Solution

The fourth proportional to 205.38, 282.66 and 163.80 is: 225.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 282.66 = 163.80 : x
  2. Step 2: Convert to fraction form
    205.38/282.66 = 163.80/x
  3. Step 3: Cross multiply
    205.38x = 282.66 × 163.80
  4. Step 4: Simplify right side
    205.38x = 46,299.71
  5. Step 5: Solve for x
    x = 46,299.71/205.38
  6. Step 6: Final answer
    x = 225.43

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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.