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Finding the Fourth Proportional to 382.09, 573.17 and 187.19

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Solution

The fourth proportional to 382.09, 573.17 and 187.19 is: 280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.09 : 573.17 = 187.19 : x
  2. Step 2: Convert to fraction form
    382.09/573.17 = 187.19/x
  3. Step 3: Cross multiply
    382.09x = 573.17 × 187.19
  4. Step 4: Simplify right side
    382.09x = 107,291.69
  5. Step 5: Solve for x
    x = 107,291.69/382.09
  6. Step 6: Final answer
    x = 280.80

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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.