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Finding the Fourth Proportional to 241.82, 333.68 and 142.24

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Solution

The fourth proportional to 241.82, 333.68 and 142.24 is: 196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.82 : 333.68 = 142.24 : x
  2. Step 2: Convert to fraction form
    241.82/333.68 = 142.24/x
  3. Step 3: Cross multiply
    241.82x = 333.68 × 142.24
  4. Step 4: Simplify right side
    241.82x = 47,462.64
  5. Step 5: Solve for x
    x = 47,462.64/241.82
  6. Step 6: Final answer
    x = 196.27

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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.