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Finding the Fourth Proportional to 274.11, 378.39 and 163.57

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Solution

The fourth proportional to 274.11, 378.39 and 163.57 is: 225.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.11 : 378.39 = 163.57 : x
  2. Step 2: Convert to fraction form
    274.11/378.39 = 163.57/x
  3. Step 3: Cross multiply
    274.11x = 378.39 × 163.57
  4. Step 4: Simplify right side
    274.11x = 61,893.25
  5. Step 5: Solve for x
    x = 61,893.25/274.11
  6. Step 6: Final answer
    x = 225.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.