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Finding the Fourth Proportional to 196.43, 270.61 and 166.93

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Solution

The fourth proportional to 196.43, 270.61 and 166.93 is: 229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.43 : 270.61 = 166.93 : x
  2. Step 2: Convert to fraction form
    196.43/270.61 = 166.93/x
  3. Step 3: Cross multiply
    196.43x = 270.61 × 166.93
  4. Step 4: Simplify right side
    196.43x = 45,171.83
  5. Step 5: Solve for x
    x = 45,171.83/196.43
  6. Step 6: Final answer
    x = 229.97

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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.