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Finding the Fourth Proportional to 285.81, 394.47 and 180.96

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Solution

The fourth proportional to 285.81, 394.47 and 180.96 is: 249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.81 : 394.47 = 180.96 : x
  2. Step 2: Convert to fraction form
    285.81/394.47 = 180.96/x
  3. Step 3: Cross multiply
    285.81x = 394.47 × 180.96
  4. Step 4: Simplify right side
    285.81x = 71,383.29
  5. Step 5: Solve for x
    x = 71,383.29/285.81
  6. Step 6: Final answer
    x = 249.76

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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.