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Finding the Fourth Proportional to 198.99, 274.61 and 111.66

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Solution

The fourth proportional to 198.99, 274.61 and 111.66 is: 154.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.99 : 274.61 = 111.66 : x
  2. Step 2: Convert to fraction form
    198.99/274.61 = 111.66/x
  3. Step 3: Cross multiply
    198.99x = 274.61 × 111.66
  4. Step 4: Simplify right side
    198.99x = 30,662.39
  5. Step 5: Solve for x
    x = 30,662.39/198.99
  6. Step 6: Final answer
    x = 154.09

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Why These Related Problems?

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