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Finding the Fourth Proportional to 198.84, 274.14 and 190.92

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Solution

The fourth proportional to 198.84, 274.14 and 190.92 is: 263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.84 : 274.14 = 190.92 : x
  2. Step 2: Convert to fraction form
    198.84/274.14 = 190.92/x
  3. Step 3: Cross multiply
    198.84x = 274.14 × 190.92
  4. Step 4: Simplify right side
    198.84x = 52,338.81
  5. Step 5: Solve for x
    x = 52,338.81/198.84
  6. Step 6: Final answer
    x = 263.22

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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.