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Finding the Fourth Proportional to 220, 305.68 and 217.88

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Solution

The fourth proportional to 220, 305.68 and 217.88 is: 302.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    220 : 305.68 = 217.88 : x
  2. Step 2: Convert to fraction form
    220/305.68 = 217.88/x
  3. Step 3: Cross multiply
    220x = 305.68 × 217.88
  4. Step 4: Simplify right side
    220x = 66,601.56
  5. Step 5: Solve for x
    x = 66,601.56/220
  6. Step 6: Final answer
    x = 302.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.