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Finding the Fourth Proportional to 219.88, 303.30 and 161.80

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Solution

The fourth proportional to 219.88, 303.30 and 161.80 is: 223.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.88 : 303.30 = 161.80 : x
  2. Step 2: Convert to fraction form
    219.88/303.30 = 161.80/x
  3. Step 3: Cross multiply
    219.88x = 303.30 × 161.80
  4. Step 4: Simplify right side
    219.88x = 49,073.94
  5. Step 5: Solve for x
    x = 49,073.94/219.88
  6. Step 6: Final answer
    x = 223.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.