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Finding the Fourth Proportional to 275.25, 380.05 and 201.68

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Solution

The fourth proportional to 275.25, 380.05 and 201.68 is: 278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.25 : 380.05 = 201.68 : x
  2. Step 2: Convert to fraction form
    275.25/380.05 = 201.68/x
  3. Step 3: Cross multiply
    275.25x = 380.05 × 201.68
  4. Step 4: Simplify right side
    275.25x = 76,646.08
  5. Step 5: Solve for x
    x = 76,646.08/275.25
  6. Step 6: Final answer
    x = 278.46

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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.