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Finding the Fourth Proportional to 220.40, 329.83 and 133.68

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Solution

The fourth proportional to 220.40, 329.83 and 133.68 is: 200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.40 : 329.83 = 133.68 : x
  2. Step 2: Convert to fraction form
    220.40/329.83 = 133.68/x
  3. Step 3: Cross multiply
    220.40x = 329.83 × 133.68
  4. Step 4: Simplify right side
    220.40x = 44,091.34
  5. Step 5: Solve for x
    x = 44,091.34/220.40
  6. Step 6: Final answer
    x = 200.06

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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.