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Finding the Fourth Proportional to 198.65, 274.15 and 154.44

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Solution

The fourth proportional to 198.65, 274.15 and 154.44 is: 213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.65 : 274.15 = 154.44 : x
  2. Step 2: Convert to fraction form
    198.65/274.15 = 154.44/x
  3. Step 3: Cross multiply
    198.65x = 274.15 × 154.44
  4. Step 4: Simplify right side
    198.65x = 42,339.73
  5. Step 5: Solve for x
    x = 42,339.73/198.65
  6. Step 6: Final answer
    x = 213.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.