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Finding the Fourth Proportional to 274.78, 379.14 and 164.20

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Solution

The fourth proportional to 274.78, 379.14 and 164.20 is: 226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.78 : 379.14 = 164.20 : x
  2. Step 2: Convert to fraction form
    274.78/379.14 = 164.20/x
  3. Step 3: Cross multiply
    274.78x = 379.14 × 164.20
  4. Step 4: Simplify right side
    274.78x = 62,254.79
  5. Step 5: Solve for x
    x = 62,254.79/274.78
  6. Step 6: Final answer
    x = 226.56

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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.