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Finding the Fourth Proportional to 219.30, 329.13 and 132.72

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Solution

The fourth proportional to 219.30, 329.13 and 132.72 is: 199.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.30 : 329.13 = 132.72 : x
  2. Step 2: Convert to fraction form
    219.30/329.13 = 132.72/x
  3. Step 3: Cross multiply
    219.30x = 329.13 × 132.72
  4. Step 4: Simplify right side
    219.30x = 43,682.13
  5. Step 5: Solve for x
    x = 43,682.13/219.30
  6. Step 6: Final answer
    x = 199.19

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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.