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Finding the Fourth Proportional to 208, 285.14 and 197.20

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Solution

The fourth proportional to 208, 285.14 and 197.20 is: 270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208 : 285.14 = 197.20 : x
  2. Step 2: Convert to fraction form
    208/285.14 = 197.20/x
  3. Step 3: Cross multiply
    208x = 285.14 × 197.20
  4. Step 4: Simplify right side
    208x = 56,229.61
  5. Step 5: Solve for x
    x = 56,229.61/208
  6. Step 6: Final answer
    x = 270.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.