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Finding the Fourth Proportional to 305.96, 422.15 and 181.62

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Solution

The fourth proportional to 305.96, 422.15 and 181.62 is: 250.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.96 : 422.15 = 181.62 : x
  2. Step 2: Convert to fraction form
    305.96/422.15 = 181.62/x
  3. Step 3: Cross multiply
    305.96x = 422.15 × 181.62
  4. Step 4: Simplify right side
    305.96x = 76,669.97
  5. Step 5: Solve for x
    x = 76,669.97/305.96
  6. Step 6: Final answer
    x = 250.59

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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.