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Finding the Fourth Proportional to 275.26, 379.82 and 201.44

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Solution

The fourth proportional to 275.26, 379.82 and 201.44 is: 277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.26 : 379.82 = 201.44 : x
  2. Step 2: Convert to fraction form
    275.26/379.82 = 201.44/x
  3. Step 3: Cross multiply
    275.26x = 379.82 × 201.44
  4. Step 4: Simplify right side
    275.26x = 76,509.93
  5. Step 5: Solve for x
    x = 76,509.93/275.26
  6. Step 6: Final answer
    x = 277.96

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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.