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Finding the Fourth Proportional to 197.50, 295.96 and 110.73

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Solution

The fourth proportional to 197.50, 295.96 and 110.73 is: 165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.50 : 295.96 = 110.73 : x
  2. Step 2: Convert to fraction form
    197.50/295.96 = 110.73/x
  3. Step 3: Cross multiply
    197.50x = 295.96 × 110.73
  4. Step 4: Simplify right side
    197.50x = 32,771.65
  5. Step 5: Solve for x
    x = 32,771.65/197.50
  6. Step 6: Final answer
    x = 165.93

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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.