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Finding the Fourth Proportional to 363.47, 544.86 and 198.69

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Solution

The fourth proportional to 363.47, 544.86 and 198.69 is: 297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.47 : 544.86 = 198.69 : x
  2. Step 2: Convert to fraction form
    363.47/544.86 = 198.69/x
  3. Step 3: Cross multiply
    363.47x = 544.86 × 198.69
  4. Step 4: Simplify right side
    363.47x = 108,258.23
  5. Step 5: Solve for x
    x = 108,258.23/363.47
  6. Step 6: Final answer
    x = 297.85

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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.