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Finding the Fourth Proportional to 274.20, 378.25 and 163.66

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Solution

The fourth proportional to 274.20, 378.25 and 163.66 is: 225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.20 : 378.25 = 163.66 : x
  2. Step 2: Convert to fraction form
    274.20/378.25 = 163.66/x
  3. Step 3: Cross multiply
    274.20x = 378.25 × 163.66
  4. Step 4: Simplify right side
    274.20x = 61,901.69
  5. Step 5: Solve for x
    x = 61,901.69/274.20
  6. Step 6: Final answer
    x = 225.75

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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.