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Finding the Fourth Proportional to 285.41, 394.04 and 180.56

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Solution

The fourth proportional to 285.41, 394.04 and 180.56 is: 249.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.41 : 394.04 = 180.56 : x
  2. Step 2: Convert to fraction form
    285.41/394.04 = 180.56/x
  3. Step 3: Cross multiply
    285.41x = 394.04 × 180.56
  4. Step 4: Simplify right side
    285.41x = 71,149.30
  5. Step 5: Solve for x
    x = 71,149.30/285.41
  6. Step 6: Final answer
    x = 249.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.