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Finding the Fourth Proportional to 382.15, 573.08 and 187.03

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Solution

The fourth proportional to 382.15, 573.08 and 187.03 is: 280.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.15 : 573.08 = 187.03 : x
  2. Step 2: Convert to fraction form
    382.15/573.08 = 187.03/x
  3. Step 3: Cross multiply
    382.15x = 573.08 × 187.03
  4. Step 4: Simplify right side
    382.15x = 107,179.35
  5. Step 5: Solve for x
    x = 107,179.35/382.15
  6. Step 6: Final answer
    x = 280.47

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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.