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Finding the Fourth Proportional to 196.23, 271.21 and 173.11

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Solution

The fourth proportional to 196.23, 271.21 and 173.11 is: 239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.23 : 271.21 = 173.11 : x
  2. Step 2: Convert to fraction form
    196.23/271.21 = 173.11/x
  3. Step 3: Cross multiply
    196.23x = 271.21 × 173.11
  4. Step 4: Simplify right side
    196.23x = 46,949.16
  5. Step 5: Solve for x
    x = 46,949.16/196.23
  6. Step 6: Final answer
    x = 239.26

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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.