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Finding the Fourth Proportional to 224.54, 309.89 and 161.73

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Solution

The fourth proportional to 224.54, 309.89 and 161.73 is: 223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.54 : 309.89 = 161.73 : x
  2. Step 2: Convert to fraction form
    224.54/309.89 = 161.73/x
  3. Step 3: Cross multiply
    224.54x = 309.89 × 161.73
  4. Step 4: Simplify right side
    224.54x = 50,117.75
  5. Step 5: Solve for x
    x = 50,117.75/224.54
  6. Step 6: Final answer
    x = 223.21

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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.