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Finding the Fourth Proportional to 197.76, 298.22 and 194.12

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Solution

The fourth proportional to 197.76, 298.22 and 194.12 is: 292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.76 : 298.22 = 194.12 : x
  2. Step 2: Convert to fraction form
    197.76/298.22 = 194.12/x
  3. Step 3: Cross multiply
    197.76x = 298.22 × 194.12
  4. Step 4: Simplify right side
    197.76x = 57,890.47
  5. Step 5: Solve for x
    x = 57,890.47/197.76
  6. Step 6: Final answer
    x = 292.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.