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Finding the Fourth Proportional to 241.14, 332.82 and 141.57

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Solution

The fourth proportional to 241.14, 332.82 and 141.57 is: 195.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.14 : 332.82 = 141.57 : x
  2. Step 2: Convert to fraction form
    241.14/332.82 = 141.57/x
  3. Step 3: Cross multiply
    241.14x = 332.82 × 141.57
  4. Step 4: Simplify right side
    241.14x = 47,117.33
  5. Step 5: Solve for x
    x = 47,117.33/241.14
  6. Step 6: Final answer
    x = 195.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.