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Finding the Fourth Proportional to 241, 361.66 and 112.76

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Solution

The fourth proportional to 241, 361.66 and 112.76 is: 169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    241 : 361.66 = 112.76 : x
  2. Step 2: Convert to fraction form
    241/361.66 = 112.76/x
  3. Step 3: Cross multiply
    241x = 361.66 × 112.76
  4. Step 4: Simplify right side
    241x = 40,780.78
  5. Step 5: Solve for x
    x = 40,780.78/241
  6. Step 6: Final answer
    x = 169.21

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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.