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Finding the Fourth Proportional to 219.87, 331.31 and 182.20

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Solution

The fourth proportional to 219.87, 331.31 and 182.20 is: 274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.87 : 331.31 = 182.20 : x
  2. Step 2: Convert to fraction form
    219.87/331.31 = 182.20/x
  3. Step 3: Cross multiply
    219.87x = 331.31 × 182.20
  4. Step 4: Simplify right side
    219.87x = 60,364.68
  5. Step 5: Solve for x
    x = 60,364.68/219.87
  6. Step 6: Final answer
    x = 274.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.