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Finding the Fourth Proportional to 275.22, 379.78 and 201.84

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Solution

The fourth proportional to 275.22, 379.78 and 201.84 is: 278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.22 : 379.78 = 201.84 : x
  2. Step 2: Convert to fraction form
    275.22/379.78 = 201.84/x
  3. Step 3: Cross multiply
    275.22x = 379.78 × 201.84
  4. Step 4: Simplify right side
    275.22x = 76,654.80
  5. Step 5: Solve for x
    x = 76,654.80/275.22
  6. Step 6: Final answer
    x = 278.53

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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.