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Finding the Fourth Proportional to 241.15, 332.81 and 142.91

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Solution

The fourth proportional to 241.15, 332.81 and 142.91 is: 197.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.15 : 332.81 = 142.91 : x
  2. Step 2: Convert to fraction form
    241.15/332.81 = 142.91/x
  3. Step 3: Cross multiply
    241.15x = 332.81 × 142.91
  4. Step 4: Simplify right side
    241.15x = 47,562.53
  5. Step 5: Solve for x
    x = 47,562.53/241.15
  6. Step 6: Final answer
    x = 197.23

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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.