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Finding the Fourth Proportional to 274.63, 378.96 and 164.09

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Solution

The fourth proportional to 274.63, 378.96 and 164.09 is: 226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.63 : 378.96 = 164.09 : x
  2. Step 2: Convert to fraction form
    274.63/378.96 = 164.09/x
  3. Step 3: Cross multiply
    274.63x = 378.96 × 164.09
  4. Step 4: Simplify right side
    274.63x = 62,183.55
  5. Step 5: Solve for x
    x = 62,183.55/274.63
  6. Step 6: Final answer
    x = 226.43

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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.