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Finding the Fourth Proportional to 305.91, 422.17 and 181.54

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Solution

The fourth proportional to 305.91, 422.17 and 181.54 is: 250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.91 : 422.17 = 181.54 : x
  2. Step 2: Convert to fraction form
    305.91/422.17 = 181.54/x
  3. Step 3: Cross multiply
    305.91x = 422.17 × 181.54
  4. Step 4: Simplify right side
    305.91x = 76,640.74
  5. Step 5: Solve for x
    x = 76,640.74/305.91
  6. Step 6: Final answer
    x = 250.53

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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.