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Finding the Fourth Proportional to 221.95, 306.21 and 137.92

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Solution

The fourth proportional to 221.95, 306.21 and 137.92 is: 190.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.95 : 306.21 = 137.92 : x
  2. Step 2: Convert to fraction form
    221.95/306.21 = 137.92/x
  3. Step 3: Cross multiply
    221.95x = 306.21 × 137.92
  4. Step 4: Simplify right side
    221.95x = 42,232.48
  5. Step 5: Solve for x
    x = 42,232.48/221.95
  6. Step 6: Final answer
    x = 190.28

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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.