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Finding the Fourth Proportional to 285.92, 394.38 and 180.82

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Solution

The fourth proportional to 285.92, 394.38 and 180.82 is: 249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.92 : 394.38 = 180.82 : x
  2. Step 2: Convert to fraction form
    285.92/394.38 = 180.82/x
  3. Step 3: Cross multiply
    285.92x = 394.38 × 180.82
  4. Step 4: Simplify right side
    285.92x = 71,312.96
  5. Step 5: Solve for x
    x = 71,312.96/285.92
  6. Step 6: Final answer
    x = 249.42

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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.