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Finding the Fourth Proportional to 241.43, 361.22 and 180.81

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Solution

The fourth proportional to 241.43, 361.22 and 180.81 is: 270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.43 : 361.22 = 180.81 : x
  2. Step 2: Convert to fraction form
    241.43/361.22 = 180.81/x
  3. Step 3: Cross multiply
    241.43x = 361.22 × 180.81
  4. Step 4: Simplify right side
    241.43x = 65,311.28
  5. Step 5: Solve for x
    x = 65,311.28/241.43
  6. Step 6: Final answer
    x = 270.52

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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.