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Finding the Fourth Proportional to 219.75, 330.17 and 142.75

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Solution

The fourth proportional to 219.75, 330.17 and 142.75 is: 214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.75 : 330.17 = 142.75 : x
  2. Step 2: Convert to fraction form
    219.75/330.17 = 142.75/x
  3. Step 3: Cross multiply
    219.75x = 330.17 × 142.75
  4. Step 4: Simplify right side
    219.75x = 47,131.77
  5. Step 5: Solve for x
    x = 47,131.77/219.75
  6. Step 6: Final answer
    x = 214.48

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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.