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Finding the Fourth Proportional to 274.57, 378.73 and 181.31

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Solution

The fourth proportional to 274.57, 378.73 and 181.31 is: 250.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.57 : 378.73 = 181.31 : x
  2. Step 2: Convert to fraction form
    274.57/378.73 = 181.31/x
  3. Step 3: Cross multiply
    274.57x = 378.73 × 181.31
  4. Step 4: Simplify right side
    274.57x = 68,667.54
  5. Step 5: Solve for x
    x = 68,667.54/274.57
  6. Step 6: Final answer
    x = 250.09

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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.