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Finding the Fourth Proportional to 275.42, 380.22 and 201.90

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Solution

The fourth proportional to 275.42, 380.22 and 201.90 is: 278.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.42 : 380.22 = 201.90 : x
  2. Step 2: Convert to fraction form
    275.42/380.22 = 201.90/x
  3. Step 3: Cross multiply
    275.42x = 380.22 × 201.90
  4. Step 4: Simplify right side
    275.42x = 76,766.42
  5. Step 5: Solve for x
    x = 76,766.42/275.42
  6. Step 6: Final answer
    x = 278.72

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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.