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Finding the Fourth Proportional to 196.59, 271.49 and 161.96

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Solution

The fourth proportional to 196.59, 271.49 and 161.96 is: 223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.59 : 271.49 = 161.96 : x
  2. Step 2: Convert to fraction form
    196.59/271.49 = 161.96/x
  3. Step 3: Cross multiply
    196.59x = 271.49 × 161.96
  4. Step 4: Simplify right side
    196.59x = 43,971.94
  5. Step 5: Solve for x
    x = 43,971.94/196.59
  6. Step 6: Final answer
    x = 223.67

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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.