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Finding the Fourth Proportional to 197.98, 296.80 and 154.41

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Solution

The fourth proportional to 197.98, 296.80 and 154.41 is: 231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.98 : 296.80 = 154.41 : x
  2. Step 2: Convert to fraction form
    197.98/296.80 = 154.41/x
  3. Step 3: Cross multiply
    197.98x = 296.80 × 154.41
  4. Step 4: Simplify right side
    197.98x = 45,828.89
  5. Step 5: Solve for x
    x = 45,828.89/197.98
  6. Step 6: Final answer
    x = 231.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.