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Finding the Fourth Proportional to 220.22, 329.58 and 189.80

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Solution

The fourth proportional to 220.22, 329.58 and 189.80 is: 284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.22 : 329.58 = 189.80 : x
  2. Step 2: Convert to fraction form
    220.22/329.58 = 189.80/x
  3. Step 3: Cross multiply
    220.22x = 329.58 × 189.80
  4. Step 4: Simplify right side
    220.22x = 62,554.28
  5. Step 5: Solve for x
    x = 62,554.28/220.22
  6. Step 6: Final answer
    x = 284.05

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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.