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Finding the Fourth Proportional to 274.81, 379.21 and 164.27

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Solution

The fourth proportional to 274.81, 379.21 and 164.27 is: 226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.81 : 379.21 = 164.27 : x
  2. Step 2: Convert to fraction form
    274.81/379.21 = 164.27/x
  3. Step 3: Cross multiply
    274.81x = 379.21 × 164.27
  4. Step 4: Simplify right side
    274.81x = 62,292.83
  5. Step 5: Solve for x
    x = 62,292.83/274.81
  6. Step 6: Final answer
    x = 226.68

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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.