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Finding the Fourth Proportional to 204.70, 282.44 and 163.38

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Solution

The fourth proportional to 204.70, 282.44 and 163.38 is: 225.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.70 : 282.44 = 163.38 : x
  2. Step 2: Convert to fraction form
    204.70/282.44 = 163.38/x
  3. Step 3: Cross multiply
    204.70x = 282.44 × 163.38
  4. Step 4: Simplify right side
    204.70x = 46,145.05
  5. Step 5: Solve for x
    x = 46,145.05/204.70
  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.