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Finding the Fourth Proportional to 196.74, 270.81 and 163.62

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Solution

The fourth proportional to 196.74, 270.81 and 163.62 is: 225.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.74 : 270.81 = 163.62 : x
  2. Step 2: Convert to fraction form
    196.74/270.81 = 163.62/x
  3. Step 3: Cross multiply
    196.74x = 270.81 × 163.62
  4. Step 4: Simplify right side
    196.74x = 44,309.93
  5. Step 5: Solve for x
    x = 44,309.93/196.74
  6. Step 6: Final answer
    x = 225.22

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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.