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Finding the Fourth Proportional to 285.85, 394.49 and 161.52

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Solution

The fourth proportional to 285.85, 394.49 and 161.52 is: 222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.85 : 394.49 = 161.52 : x
  2. Step 2: Convert to fraction form
    285.85/394.49 = 161.52/x
  3. Step 3: Cross multiply
    285.85x = 394.49 × 161.52
  4. Step 4: Simplify right side
    285.85x = 63,718.02
  5. Step 5: Solve for x
    x = 63,718.02/285.85
  6. Step 6: Final answer
    x = 222.91

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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.