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Finding the Fourth Proportional to 198.47, 272.74 and 165.67

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Solution

The fourth proportional to 198.47, 272.74 and 165.67 is: 227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.47 : 272.74 = 165.67 : x
  2. Step 2: Convert to fraction form
    198.47/272.74 = 165.67/x
  3. Step 3: Cross multiply
    198.47x = 272.74 × 165.67
  4. Step 4: Simplify right side
    198.47x = 45,183.74
  5. Step 5: Solve for x
    x = 45,183.74/198.47
  6. Step 6: Final answer
    x = 227.66

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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.