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Finding the Fourth Proportional to 382.22, 573.19 and 122.15

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Solution

The fourth proportional to 382.22, 573.19 and 122.15 is: 183.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.22 : 573.19 = 122.15 : x
  2. Step 2: Convert to fraction form
    382.22/573.19 = 122.15/x
  3. Step 3: Cross multiply
    382.22x = 573.19 × 122.15
  4. Step 4: Simplify right side
    382.22x = 70,017.38
  5. Step 5: Solve for x
    x = 70,017.38/382.22
  6. Step 6: Final answer
    x = 183.18

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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.