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Finding the Fourth Proportional to 274.74, 379.31 and 164.25

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Solution

The fourth proportional to 274.74, 379.31 and 164.25 is: 226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.74 : 379.31 = 164.25 : x
  2. Step 2: Convert to fraction form
    274.74/379.31 = 164.25/x
  3. Step 3: Cross multiply
    274.74x = 379.31 × 164.25
  4. Step 4: Simplify right side
    274.74x = 62,302.38
  5. Step 5: Solve for x
    x = 62,302.38/274.74
  6. Step 6: Final answer
    x = 226.77

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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.