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Finding the Fourth Proportional to 274.86, 379.22 and 164.43

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Solution

The fourth proportional to 274.86, 379.22 and 164.43 is: 226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.86 : 379.22 = 164.43 : x
  2. Step 2: Convert to fraction form
    274.86/379.22 = 164.43/x
  3. Step 3: Cross multiply
    274.86x = 379.22 × 164.43
  4. Step 4: Simplify right side
    274.86x = 62,354.32
  5. Step 5: Solve for x
    x = 62,354.32/274.86
  6. Step 6: Final answer
    x = 226.86

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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.