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Finding the Fourth Proportional to 196.10, 270.46 and 165.09

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Solution

The fourth proportional to 196.10, 270.46 and 165.09 is: 227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.10 : 270.46 = 165.09 : x
  2. Step 2: Convert to fraction form
    196.10/270.46 = 165.09/x
  3. Step 3: Cross multiply
    196.10x = 270.46 × 165.09
  4. Step 4: Simplify right side
    196.10x = 44,651.46
  5. Step 5: Solve for x
    x = 44,651.46/196.10
  6. Step 6: Final answer
    x = 227.69

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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.