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Finding the Fourth Proportional to 241.86, 362.52 and 198.48

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Solution

The fourth proportional to 241.86, 362.52 and 198.48 is: 297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.86 : 362.52 = 198.48 : x
  2. Step 2: Convert to fraction form
    241.86/362.52 = 198.48/x
  3. Step 3: Cross multiply
    241.86x = 362.52 × 198.48
  4. Step 4: Simplify right side
    241.86x = 71,952.97
  5. Step 5: Solve for x
    x = 71,952.97/241.86
  6. Step 6: Final answer
    x = 297.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.