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Finding the Fourth Proportional to 241.08, 361.78 and 180.33

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Solution

The fourth proportional to 241.08, 361.78 and 180.33 is: 270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.08 : 361.78 = 180.33 : x
  2. Step 2: Convert to fraction form
    241.08/361.78 = 180.33/x
  3. Step 3: Cross multiply
    241.08x = 361.78 × 180.33
  4. Step 4: Simplify right side
    241.08x = 65,239.79
  5. Step 5: Solve for x
    x = 65,239.79/241.08
  6. Step 6: Final answer
    x = 270.61

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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.