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Finding the Fourth Proportional to 198.63, 274.12 and 119.94

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Solution

The fourth proportional to 198.63, 274.12 and 119.94 is: 165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.63 : 274.12 = 119.94 : x
  2. Step 2: Convert to fraction form
    198.63/274.12 = 119.94/x
  3. Step 3: Cross multiply
    198.63x = 274.12 × 119.94
  4. Step 4: Simplify right side
    198.63x = 32,878.91
  5. Step 5: Solve for x
    x = 32,878.91/198.63
  6. Step 6: Final answer
    x = 165.53

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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.