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Finding the Fourth Proportional to 198.46, 274.08 and 161.74

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Solution

The fourth proportional to 198.46, 274.08 and 161.74 is: 223.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.46 : 274.08 = 161.74 : x
  2. Step 2: Convert to fraction form
    198.46/274.08 = 161.74/x
  3. Step 3: Cross multiply
    198.46x = 274.08 × 161.74
  4. Step 4: Simplify right side
    198.46x = 44,329.70
  5. Step 5: Solve for x
    x = 44,329.70/198.46
  6. Step 6: Final answer
    x = 223.37

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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.