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Finding the Fourth Proportional to 285.81, 394.32 and 180.87

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Solution

The fourth proportional to 285.81, 394.32 and 180.87 is: 249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.81 : 394.32 = 180.87 : x
  2. Step 2: Convert to fraction form
    285.81/394.32 = 180.87/x
  3. Step 3: Cross multiply
    285.81x = 394.32 × 180.87
  4. Step 4: Simplify right side
    285.81x = 71,320.66
  5. Step 5: Solve for x
    x = 71,320.66/285.81
  6. Step 6: Final answer
    x = 249.54

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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.