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Finding the Fourth Proportional to 272.28, 375.77 and 197.66

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Solution

The fourth proportional to 272.28, 375.77 and 197.66 is: 272.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.28 : 375.77 = 197.66 : x
  2. Step 2: Convert to fraction form
    272.28/375.77 = 197.66/x
  3. Step 3: Cross multiply
    272.28x = 375.77 × 197.66
  4. Step 4: Simplify right side
    272.28x = 74,274.70
  5. Step 5: Solve for x
    x = 74,274.70/272.28
  6. Step 6: Final answer
    x = 272.79

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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.