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Finding the Fourth Proportional to 285.69, 394.23 and 161.33

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Solution

The fourth proportional to 285.69, 394.23 and 161.33 is: 222.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.69 : 394.23 = 161.33 : x
  2. Step 2: Convert to fraction form
    285.69/394.23 = 161.33/x
  3. Step 3: Cross multiply
    285.69x = 394.23 × 161.33
  4. Step 4: Simplify right side
    285.69x = 63,599.76
  5. Step 5: Solve for x
    x = 63,599.76/285.69
  6. Step 6: Final answer
    x = 222.62

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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.