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Finding the Fourth Proportional to 221.28, 303.74 and 196.16

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Solution

The fourth proportional to 221.28, 303.74 and 196.16 is: 269.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.28 : 303.74 = 196.16 : x
  2. Step 2: Convert to fraction form
    221.28/303.74 = 196.16/x
  3. Step 3: Cross multiply
    221.28x = 303.74 × 196.16
  4. Step 4: Simplify right side
    221.28x = 59,581.64
  5. Step 5: Solve for x
    x = 59,581.64/221.28
  6. Step 6: Final answer
    x = 269.26

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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.