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Finding the Fourth Proportional to 221.81, 306.63 and 219.74

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Solution

The fourth proportional to 221.81, 306.63 and 219.74 is: 303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.81 : 306.63 = 219.74 : x
  2. Step 2: Convert to fraction form
    221.81/306.63 = 219.74/x
  3. Step 3: Cross multiply
    221.81x = 306.63 × 219.74
  4. Step 4: Simplify right side
    221.81x = 67,377.34
  5. Step 5: Solve for x
    x = 67,377.34/221.81
  6. Step 6: Final answer
    x = 303.77

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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.