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Finding the Fourth Proportional to 198.56, 274 and 111.23

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Solution

The fourth proportional to 198.56, 274 and 111.23 is: 153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.56 : 274 = 111.23 : x
  2. Step 2: Convert to fraction form
    198.56/274 = 111.23/x
  3. Step 3: Cross multiply
    198.56x = 274 × 111.23
  4. Step 4: Simplify right side
    198.56x = 30,477.02
  5. Step 5: Solve for x
    x = 30,477.02/198.56
  6. Step 6: Final answer
    x = 153.49

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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.