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Finding the Fourth Proportional to 219.64, 329.57 and 133.15

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Solution

The fourth proportional to 219.64, 329.57 and 133.15 is: 199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.64 : 329.57 = 133.15 : x
  2. Step 2: Convert to fraction form
    219.64/329.57 = 133.15/x
  3. Step 3: Cross multiply
    219.64x = 329.57 × 133.15
  4. Step 4: Simplify right side
    219.64x = 43,882.25
  5. Step 5: Solve for x
    x = 43,882.25/219.64
  6. Step 6: Final answer
    x = 199.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.