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Finding the Fourth Proportional to 241.10, 361.18 and 138.07

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Solution

The fourth proportional to 241.10, 361.18 and 138.07 is: 206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.10 : 361.18 = 138.07 : x
  2. Step 2: Convert to fraction form
    241.10/361.18 = 138.07/x
  3. Step 3: Cross multiply
    241.10x = 361.18 × 138.07
  4. Step 4: Simplify right side
    241.10x = 49,866.32
  5. Step 5: Solve for x
    x = 49,866.32/241.10
  6. Step 6: Final answer
    x = 206.83

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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.