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Finding the Fourth Proportional to 197.68, 296.32 and 151.96

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Solution

The fourth proportional to 197.68, 296.32 and 151.96 is: 227.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.68 : 296.32 = 151.96 : x
  2. Step 2: Convert to fraction form
    197.68/296.32 = 151.96/x
  3. Step 3: Cross multiply
    197.68x = 296.32 × 151.96
  4. Step 4: Simplify right side
    197.68x = 45,028.79
  5. Step 5: Solve for x
    x = 45,028.79/197.68
  6. Step 6: Final answer
    x = 227.79

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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.