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Finding the Fourth Proportional to 241.75, 362.41 and 102.94

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Solution

The fourth proportional to 241.75, 362.41 and 102.94 is: 154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.75 : 362.41 = 102.94 : x
  2. Step 2: Convert to fraction form
    241.75/362.41 = 102.94/x
  3. Step 3: Cross multiply
    241.75x = 362.41 × 102.94
  4. Step 4: Simplify right side
    241.75x = 37,306.49
  5. Step 5: Solve for x
    x = 37,306.49/241.75
  6. Step 6: Final answer
    x = 154.32

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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.