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Finding the Fourth Proportional to 272.75, 376.02 and 198.99

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Solution

The fourth proportional to 272.75, 376.02 and 198.99 is: 274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.75 : 376.02 = 198.99 : x
  2. Step 2: Convert to fraction form
    272.75/376.02 = 198.99/x
  3. Step 3: Cross multiply
    272.75x = 376.02 × 198.99
  4. Step 4: Simplify right side
    272.75x = 74,824.22
  5. Step 5: Solve for x
    x = 74,824.22/272.75
  6. Step 6: Final answer
    x = 274.34

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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.