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Finding the Fourth Proportional to 274.72, 379.16 and 181.61

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Solution

The fourth proportional to 274.72, 379.16 and 181.61 is: 250.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.72 : 379.16 = 181.61 : x
  2. Step 2: Convert to fraction form
    274.72/379.16 = 181.61/x
  3. Step 3: Cross multiply
    274.72x = 379.16 × 181.61
  4. Step 4: Simplify right side
    274.72x = 68,859.25
  5. Step 5: Solve for x
    x = 68,859.25/274.72
  6. Step 6: Final answer
    x = 250.65

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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.