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Finding the Fourth Proportional to 285.73, 394.22 and 161.39

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Solution

The fourth proportional to 285.73, 394.22 and 161.39 is: 222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.73 : 394.22 = 161.39 : x
  2. Step 2: Convert to fraction form
    285.73/394.22 = 161.39/x
  3. Step 3: Cross multiply
    285.73x = 394.22 × 161.39
  4. Step 4: Simplify right side
    285.73x = 63,624.55
  5. Step 5: Solve for x
    x = 63,624.55/285.73
  6. Step 6: Final answer
    x = 222.68

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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.