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Finding the Fourth Proportional to 221.59, 331.49 and 190.48

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Solution

The fourth proportional to 221.59, 331.49 and 190.48 is: 284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.59 : 331.49 = 190.48 : x
  2. Step 2: Convert to fraction form
    221.59/331.49 = 190.48/x
  3. Step 3: Cross multiply
    221.59x = 331.49 × 190.48
  4. Step 4: Simplify right side
    221.59x = 63,141.55
  5. Step 5: Solve for x
    x = 63,141.55/221.59
  6. Step 6: Final answer
    x = 284.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.