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Finding the Fourth Proportional to 241.09, 332.82 and 142.93

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Solution

The fourth proportional to 241.09, 332.82 and 142.93 is: 197.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.09 : 332.82 = 142.93 : x
  2. Step 2: Convert to fraction form
    241.09/332.82 = 142.93/x
  3. Step 3: Cross multiply
    241.09x = 332.82 × 142.93
  4. Step 4: Simplify right side
    241.09x = 47,569.96
  5. Step 5: Solve for x
    x = 47,569.96/241.09
  6. Step 6: Final answer
    x = 197.31

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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.