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Finding the Fourth Proportional to 362.97, 544.48 and 198.23

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Solution

The fourth proportional to 362.97, 544.48 and 198.23 is: 297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.97 : 544.48 = 198.23 : x
  2. Step 2: Convert to fraction form
    362.97/544.48 = 198.23/x
  3. Step 3: Cross multiply
    362.97x = 544.48 × 198.23
  4. Step 4: Simplify right side
    362.97x = 107,929.05
  5. Step 5: Solve for x
    x = 107,929.05/362.97
  6. Step 6: Final answer
    x = 297.35

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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.