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Finding the Fourth Proportional to 274.73, 378.99 and 164.14

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Solution

The fourth proportional to 274.73, 378.99 and 164.14 is: 226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.73 : 378.99 = 164.14 : x
  2. Step 2: Convert to fraction form
    274.73/378.99 = 164.14/x
  3. Step 3: Cross multiply
    274.73x = 378.99 × 164.14
  4. Step 4: Simplify right side
    274.73x = 62,207.42
  5. Step 5: Solve for x
    x = 62,207.42/274.73
  6. Step 6: Final answer
    x = 226.43

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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.