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Finding the Fourth Proportional to 198.84, 274.12 and 133.24

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Solution

The fourth proportional to 198.84, 274.12 and 133.24 is: 183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.84 : 274.12 = 133.24 : x
  2. Step 2: Convert to fraction form
    198.84/274.12 = 133.24/x
  3. Step 3: Cross multiply
    198.84x = 274.12 × 133.24
  4. Step 4: Simplify right side
    198.84x = 36,523.75
  5. Step 5: Solve for x
    x = 36,523.75/198.84
  6. Step 6: Final answer
    x = 183.68

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