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Finding the Fourth Proportional to 382.94, 573.85 and 187.73

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Solution

The fourth proportional to 382.94, 573.85 and 187.73 is: 281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.94 : 573.85 = 187.73 : x
  2. Step 2: Convert to fraction form
    382.94/573.85 = 187.73/x
  3. Step 3: Cross multiply
    382.94x = 573.85 × 187.73
  4. Step 4: Simplify right side
    382.94x = 107,728.38
  5. Step 5: Solve for x
    x = 107,728.38/382.94
  6. Step 6: Final answer
    x = 281.32

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Why These Related Problems?

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