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Finding the Fourth Proportional to 197.22, 295.91 and 110.61

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Solution

The fourth proportional to 197.22, 295.91 and 110.61 is: 165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.22 : 295.91 = 110.61 : x
  2. Step 2: Convert to fraction form
    197.22/295.91 = 110.61/x
  3. Step 3: Cross multiply
    197.22x = 295.91 × 110.61
  4. Step 4: Simplify right side
    197.22x = 32,730.61
  5. Step 5: Solve for x
    x = 32,730.61/197.22
  6. Step 6: Final answer
    x = 165.96

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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.