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Finding the Fourth Proportional to 220.85, 302.59 and 217.82

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Solution

The fourth proportional to 220.85, 302.59 and 217.82 is: 298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.85 : 302.59 = 217.82 : x
  2. Step 2: Convert to fraction form
    220.85/302.59 = 217.82/x
  3. Step 3: Cross multiply
    220.85x = 302.59 × 217.82
  4. Step 4: Simplify right side
    220.85x = 65,910.15
  5. Step 5: Solve for x
    x = 65,910.15/220.85
  6. Step 6: Final answer
    x = 298.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.