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Finding the Fourth Proportional to 220.05, 303.85 and 196.70

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Solution

The fourth proportional to 220.05, 303.85 and 196.70 is: 271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.05 : 303.85 = 196.70 : x
  2. Step 2: Convert to fraction form
    220.05/303.85 = 196.70/x
  3. Step 3: Cross multiply
    220.05x = 303.85 × 196.70
  4. Step 4: Simplify right side
    220.05x = 59,766.02
  5. Step 5: Solve for x
    x = 59,766.02/220.05
  6. Step 6: Final answer
    x = 271.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.