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Finding the Fourth Proportional to 274.70, 379.09 and 164.16

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Solution

The fourth proportional to 274.70, 379.09 and 164.16 is: 226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.70 : 379.09 = 164.16 : x
  2. Step 2: Convert to fraction form
    274.70/379.09 = 164.16/x
  3. Step 3: Cross multiply
    274.70x = 379.09 × 164.16
  4. Step 4: Simplify right side
    274.70x = 62,231.41
  5. Step 5: Solve for x
    x = 62,231.41/274.70
  6. Step 6: Final answer
    x = 226.54

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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.