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Finding the Fourth Proportional to 197.67, 296.72 and 146.15

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Solution

The fourth proportional to 197.67, 296.72 and 146.15 is: 219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.67 : 296.72 = 146.15 : x
  2. Step 2: Convert to fraction form
    197.67/296.72 = 146.15/x
  3. Step 3: Cross multiply
    197.67x = 296.72 × 146.15
  4. Step 4: Simplify right side
    197.67x = 43,363.41
  5. Step 5: Solve for x
    x = 43,363.41/197.67
  6. Step 6: Final answer
    x = 219.37

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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.