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Finding the Fourth Proportional to 220.75, 303.69 and 196.14

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Solution

The fourth proportional to 220.75, 303.69 and 196.14 is: 269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.75 : 303.69 = 196.14 : x
  2. Step 2: Convert to fraction form
    220.75/303.69 = 196.14/x
  3. Step 3: Cross multiply
    220.75x = 303.69 × 196.14
  4. Step 4: Simplify right side
    220.75x = 59,565.76
  5. Step 5: Solve for x
    x = 59,565.76/220.75
  6. Step 6: Final answer
    x = 269.83

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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.