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Finding the Fourth Proportional to 197.09, 295.42 and 75.30

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Solution

The fourth proportional to 197.09, 295.42 and 75.30 is: 112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.09 : 295.42 = 75.30 : x
  2. Step 2: Convert to fraction form
    197.09/295.42 = 75.30/x
  3. Step 3: Cross multiply
    197.09x = 295.42 × 75.30
  4. Step 4: Simplify right side
    197.09x = 22,245.13
  5. Step 5: Solve for x
    x = 22,245.13/197.09
  6. Step 6: Final answer
    x = 112.87

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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.