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Finding the Fourth Proportional to 241.58, 361.33 and 195.78

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Solution

The fourth proportional to 241.58, 361.33 and 195.78 is: 292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.58 : 361.33 = 195.78 : x
  2. Step 2: Convert to fraction form
    241.58/361.33 = 195.78/x
  3. Step 3: Cross multiply
    241.58x = 361.33 × 195.78
  4. Step 4: Simplify right side
    241.58x = 70,742.05
  5. Step 5: Solve for x
    x = 70,742.05/241.58
  6. Step 6: Final answer
    x = 292.83

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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.