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Finding the Fourth Proportional to 361.78, 542.21 and 156.22

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Solution

The fourth proportional to 361.78, 542.21 and 156.22 is: 234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.78 : 542.21 = 156.22 : x
  2. Step 2: Convert to fraction form
    361.78/542.21 = 156.22/x
  3. Step 3: Cross multiply
    361.78x = 542.21 × 156.22
  4. Step 4: Simplify right side
    361.78x = 84,704.05
  5. Step 5: Solve for x
    x = 84,704.05/361.78
  6. Step 6: Final answer
    x = 234.13

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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.