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Finding the Fourth Proportional to 241.16, 332.78 and 142.92

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Solution

The fourth proportional to 241.16, 332.78 and 142.92 is: 197.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.16 : 332.78 = 142.92 : x
  2. Step 2: Convert to fraction form
    241.16/332.78 = 142.92/x
  3. Step 3: Cross multiply
    241.16x = 332.78 × 142.92
  4. Step 4: Simplify right side
    241.16x = 47,560.92
  5. Step 5: Solve for x
    x = 47,560.92/241.16
  6. Step 6: Final answer
    x = 197.22

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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.