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Finding the Fourth Proportional to 274.37, 378.68 and 163.94

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Solution

The fourth proportional to 274.37, 378.68 and 163.94 is: 226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.37 : 378.68 = 163.94 : x
  2. Step 2: Convert to fraction form
    274.37/378.68 = 163.94/x
  3. Step 3: Cross multiply
    274.37x = 378.68 × 163.94
  4. Step 4: Simplify right side
    274.37x = 62,080.80
  5. Step 5: Solve for x
    x = 62,080.80/274.37
  6. Step 6: Final answer
    x = 226.27

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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.