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Finding the Fourth Proportional to 274.90, 379.45 and 164.33

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Solution

The fourth proportional to 274.90, 379.45 and 164.33 is: 226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.90 : 379.45 = 164.33 : x
  2. Step 2: Convert to fraction form
    274.90/379.45 = 164.33/x
  3. Step 3: Cross multiply
    274.90x = 379.45 × 164.33
  4. Step 4: Simplify right side
    274.90x = 62,355.02
  5. Step 5: Solve for x
    x = 62,355.02/274.90
  6. Step 6: Final answer
    x = 226.83

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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.