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Finding the Fourth Proportional to 362.70, 543.48 and 198.03

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Solution

The fourth proportional to 362.70, 543.48 and 198.03 is: 296.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.70 : 543.48 = 198.03 : x
  2. Step 2: Convert to fraction form
    362.70/543.48 = 198.03/x
  3. Step 3: Cross multiply
    362.70x = 543.48 × 198.03
  4. Step 4: Simplify right side
    362.70x = 107,627.55
  5. Step 5: Solve for x
    x = 107,627.55/362.70
  6. Step 6: Final answer
    x = 296.74

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