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Finding the Fourth Proportional to 219.80, 329.22 and 151.22

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Solution

The fourth proportional to 219.80, 329.22 and 151.22 is: 226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.80 : 329.22 = 151.22 : x
  2. Step 2: Convert to fraction form
    219.80/329.22 = 151.22/x
  3. Step 3: Cross multiply
    219.80x = 329.22 × 151.22
  4. Step 4: Simplify right side
    219.80x = 49,783.00
  5. Step 5: Solve for x
    x = 49,783.00/219.80
  6. Step 6: Final answer
    x = 226.50

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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.