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Finding the Fourth Proportional to 382.25, 573.63 and 187.09

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Solution

The fourth proportional to 382.25, 573.63 and 187.09 is: 280.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.25 : 573.63 = 187.09 : x
  2. Step 2: Convert to fraction form
    382.25/573.63 = 187.09/x
  3. Step 3: Cross multiply
    382.25x = 573.63 × 187.09
  4. Step 4: Simplify right side
    382.25x = 107,319.00
  5. Step 5: Solve for x
    x = 107,319.00/382.25
  6. Step 6: Final answer
    x = 280.76

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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.