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Finding the Fourth Proportional to 196.97, 295.22 and 110.30

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Solution

The fourth proportional to 196.97, 295.22 and 110.30 is: 165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.97 : 295.22 = 110.30 : x
  2. Step 2: Convert to fraction form
    196.97/295.22 = 110.30/x
  3. Step 3: Cross multiply
    196.97x = 295.22 × 110.30
  4. Step 4: Simplify right side
    196.97x = 32,560.74
  5. Step 5: Solve for x
    x = 32,560.74/196.97
  6. Step 6: Final answer
    x = 165.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.