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Finding the Fourth Proportional to 241.19, 361.78 and 167.85

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Solution

The fourth proportional to 241.19, 361.78 and 167.85 is: 251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.19 : 361.78 = 167.85 : x
  2. Step 2: Convert to fraction form
    241.19/361.78 = 167.85/x
  3. Step 3: Cross multiply
    241.19x = 361.78 × 167.85
  4. Step 4: Simplify right side
    241.19x = 60,725.71
  5. Step 5: Solve for x
    x = 60,725.71/241.19
  6. Step 6: Final answer
    x = 251.77

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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.