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Finding the Fourth Proportional to 196.97, 272.23 and 172.96

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Solution

The fourth proportional to 196.97, 272.23 and 172.96 is: 239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.97 : 272.23 = 172.96 : x
  2. Step 2: Convert to fraction form
    196.97/272.23 = 172.96/x
  3. Step 3: Cross multiply
    196.97x = 272.23 × 172.96
  4. Step 4: Simplify right side
    196.97x = 47,083.79
  5. Step 5: Solve for x
    x = 47,083.79/196.97
  6. Step 6: Final answer
    x = 239.05

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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.