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Finding the Fourth Proportional to 198.94, 274.74 and 182.29

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Solution

The fourth proportional to 198.94, 274.74 and 182.29 is: 251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.94 : 274.74 = 182.29 : x
  2. Step 2: Convert to fraction form
    198.94/274.74 = 182.29/x
  3. Step 3: Cross multiply
    198.94x = 274.74 × 182.29
  4. Step 4: Simplify right side
    198.94x = 50,082.35
  5. Step 5: Solve for x
    x = 50,082.35/198.94
  6. Step 6: Final answer
    x = 251.75

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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.