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Finding the Fourth Proportional to 197.48, 296.20 and 53.21

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Solution

The fourth proportional to 197.48, 296.20 and 53.21 is: 79.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.48 : 296.20 = 53.21 : x
  2. Step 2: Convert to fraction form
    197.48/296.20 = 53.21/x
  3. Step 3: Cross multiply
    197.48x = 296.20 × 53.21
  4. Step 4: Simplify right side
    197.48x = 15,760.80
  5. Step 5: Solve for x
    x = 15,760.80/197.48
  6. Step 6: Final answer
    x = 79.81

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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.