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Finding the Fourth Proportional to 362.28, 543.22 and 131.23

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Solution

The fourth proportional to 362.28, 543.22 and 131.23 is: 196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.28 : 543.22 = 131.23 : x
  2. Step 2: Convert to fraction form
    362.28/543.22 = 131.23/x
  3. Step 3: Cross multiply
    362.28x = 543.22 × 131.23
  4. Step 4: Simplify right side
    362.28x = 71,286.76
  5. Step 5: Solve for x
    x = 71,286.76/362.28
  6. Step 6: Final answer
    x = 196.77

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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.