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Finding the Fourth Proportional to 221.44, 304.94 and 193.76

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Solution

The fourth proportional to 221.44, 304.94 and 193.76 is: 266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.44 : 304.94 = 193.76 : x
  2. Step 2: Convert to fraction form
    221.44/304.94 = 193.76/x
  3. Step 3: Cross multiply
    221.44x = 304.94 × 193.76
  4. Step 4: Simplify right side
    221.44x = 59,084.21
  5. Step 5: Solve for x
    x = 59,084.21/221.44
  6. Step 6: Final answer
    x = 266.82

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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.