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Finding the Fourth Proportional to 382.22, 573.32 and 138.70

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Solution

The fourth proportional to 382.22, 573.32 and 138.70 is: 208.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.22 : 573.32 = 138.70 : x
  2. Step 2: Convert to fraction form
    382.22/573.32 = 138.70/x
  3. Step 3: Cross multiply
    382.22x = 573.32 × 138.70
  4. Step 4: Simplify right side
    382.22x = 79,519.48
  5. Step 5: Solve for x
    x = 79,519.48/382.22
  6. Step 6: Final answer
    x = 208.05

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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.