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Finding the Fourth Proportional to 381.73, 572.44 and 150.58

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Solution

The fourth proportional to 381.73, 572.44 and 150.58 is: 225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.73 : 572.44 = 150.58 : x
  2. Step 2: Convert to fraction form
    381.73/572.44 = 150.58/x
  3. Step 3: Cross multiply
    381.73x = 572.44 × 150.58
  4. Step 4: Simplify right side
    381.73x = 86,198.02
  5. Step 5: Solve for x
    x = 86,198.02/381.73
  6. Step 6: Final answer
    x = 225.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.