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Finding the Fourth Proportional to 219.76, 331.31 and 217.02

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Solution

The fourth proportional to 219.76, 331.31 and 217.02 is: 327.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.76 : 331.31 = 217.02 : x
  2. Step 2: Convert to fraction form
    219.76/331.31 = 217.02/x
  3. Step 3: Cross multiply
    219.76x = 331.31 × 217.02
  4. Step 4: Simplify right side
    219.76x = 71,899.81
  5. Step 5: Solve for x
    x = 71,899.81/219.76
  6. Step 6: Final answer
    x = 327.18

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Why These Related Problems?

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