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Finding the Fourth Proportional to 362.70, 543.87 and 131.54

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Solution

The fourth proportional to 362.70, 543.87 and 131.54 is: 197.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.70 : 543.87 = 131.54 : x
  2. Step 2: Convert to fraction form
    362.70/543.87 = 131.54/x
  3. Step 3: Cross multiply
    362.70x = 543.87 × 131.54
  4. Step 4: Simplify right side
    362.70x = 71,537.94
  5. Step 5: Solve for x
    x = 71,537.94/362.70
  6. Step 6: Final answer
    x = 197.24

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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.