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Finding the Fourth Proportional to 285.83, 394.43 and 161.49

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Solution

The fourth proportional to 285.83, 394.43 and 161.49 is: 222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.83 : 394.43 = 161.49 : x
  2. Step 2: Convert to fraction form
    285.83/394.43 = 161.49/x
  3. Step 3: Cross multiply
    285.83x = 394.43 × 161.49
  4. Step 4: Simplify right side
    285.83x = 63,695.69
  5. Step 5: Solve for x
    x = 63,695.69/285.83
  6. Step 6: Final answer
    x = 222.85

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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.