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Finding the Fourth Proportional to 285.67, 394.23 and 161.38

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Solution

The fourth proportional to 285.67, 394.23 and 161.38 is: 222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.67 : 394.23 = 161.38 : x
  2. Step 2: Convert to fraction form
    285.67/394.23 = 161.38/x
  3. Step 3: Cross multiply
    285.67x = 394.23 × 161.38
  4. Step 4: Simplify right side
    285.67x = 63,618.87
  5. Step 5: Solve for x
    x = 63,618.87/285.67
  6. Step 6: Final answer
    x = 222.70

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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.