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Finding the Fourth Proportional to 380.17, 569.96 and 149.22

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Solution

The fourth proportional to 380.17, 569.96 and 149.22 is: 223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.17 : 569.96 = 149.22 : x
  2. Step 2: Convert to fraction form
    380.17/569.96 = 149.22/x
  3. Step 3: Cross multiply
    380.17x = 569.96 × 149.22
  4. Step 4: Simplify right side
    380.17x = 85,049.43
  5. Step 5: Solve for x
    x = 85,049.43/380.17
  6. Step 6: Final answer
    x = 223.71

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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.