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Finding the Fourth Proportional to 197.14, 295.78 and 110.57

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Solution

The fourth proportional to 197.14, 295.78 and 110.57 is: 165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.14 : 295.78 = 110.57 : x
  2. Step 2: Convert to fraction form
    197.14/295.78 = 110.57/x
  3. Step 3: Cross multiply
    197.14x = 295.78 × 110.57
  4. Step 4: Simplify right side
    197.14x = 32,704.86
  5. Step 5: Solve for x
    x = 32,704.86/197.14
  6. Step 6: Final answer
    x = 165.90

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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.