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Finding the Fourth Proportional to 306.82, 461.19 and 221.86

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Solution

The fourth proportional to 306.82, 461.19 and 221.86 is: 333.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.82 : 461.19 = 221.86 : x
  2. Step 2: Convert to fraction form
    306.82/461.19 = 221.86/x
  3. Step 3: Cross multiply
    306.82x = 461.19 × 221.86
  4. Step 4: Simplify right side
    306.82x = 102,319.61
  5. Step 5: Solve for x
    x = 102,319.61/306.82
  6. Step 6: Final answer
    x = 333.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.