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Finding the Fourth Proportional to 220.84, 305.95 and 217.72

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Solution

The fourth proportional to 220.84, 305.95 and 217.72 is: 301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.84 : 305.95 = 217.72 : x
  2. Step 2: Convert to fraction form
    220.84/305.95 = 217.72/x
  3. Step 3: Cross multiply
    220.84x = 305.95 × 217.72
  4. Step 4: Simplify right side
    220.84x = 66,611.43
  5. Step 5: Solve for x
    x = 66,611.43/220.84
  6. Step 6: Final answer
    x = 301.63

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