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Finding the Fourth Proportional to 219.75, 329.46 and 133.06

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Solution

The fourth proportional to 219.75, 329.46 and 133.06 is: 199.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.75 : 329.46 = 133.06 : x
  2. Step 2: Convert to fraction form
    219.75/329.46 = 133.06/x
  3. Step 3: Cross multiply
    219.75x = 329.46 × 133.06
  4. Step 4: Simplify right side
    219.75x = 43,839.64
  5. Step 5: Solve for x
    x = 43,839.64/219.75
  6. Step 6: Final answer
    x = 199.49

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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.