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Finding the Fourth Proportional to 241.92, 333.96 and 159.14

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Solution

The fourth proportional to 241.92, 333.96 and 159.14 is: 219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.92 : 333.96 = 159.14 : x
  2. Step 2: Convert to fraction form
    241.92/333.96 = 159.14/x
  3. Step 3: Cross multiply
    241.92x = 333.96 × 159.14
  4. Step 4: Simplify right side
    241.92x = 53,146.39
  5. Step 5: Solve for x
    x = 53,146.39/241.92
  6. Step 6: Final answer
    x = 219.69

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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.