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Finding the Fourth Proportional to 272.48, 375.81 and 196.74

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Solution

The fourth proportional to 272.48, 375.81 and 196.74 is: 271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.48 : 375.81 = 196.74 : x
  2. Step 2: Convert to fraction form
    272.48/375.81 = 196.74/x
  3. Step 3: Cross multiply
    272.48x = 375.81 × 196.74
  4. Step 4: Simplify right side
    272.48x = 73,936.12
  5. Step 5: Solve for x
    x = 73,936.12/272.48
  6. Step 6: Final answer
    x = 271.35

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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.