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Finding the Fourth Proportional to 272.49, 375.57 and 196.85

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Solution

The fourth proportional to 272.49, 375.57 and 196.85 is: 271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.49 : 375.57 = 196.85 : x
  2. Step 2: Convert to fraction form
    272.49/375.57 = 196.85/x
  3. Step 3: Cross multiply
    272.49x = 375.57 × 196.85
  4. Step 4: Simplify right side
    272.49x = 73,929.08
  5. Step 5: Solve for x
    x = 73,929.08/272.49
  6. Step 6: Final answer
    x = 271.31

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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.