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Finding the Fourth Proportional to 241, 361.46 and 138.14

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Solution

The fourth proportional to 241, 361.46 and 138.14 is: 207.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    241 : 361.46 = 138.14 : x
  2. Step 2: Convert to fraction form
    241/361.46 = 138.14/x
  3. Step 3: Cross multiply
    241x = 361.46 × 138.14
  4. Step 4: Simplify right side
    241x = 49,932.08
  5. Step 5: Solve for x
    x = 49,932.08/241
  6. Step 6: Final answer
    x = 207.19

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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.