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Finding the Fourth Proportional to 362.37, 543.08 and 197.92

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Solution

The fourth proportional to 362.37, 543.08 and 197.92 is: 296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.37 : 543.08 = 197.92 : x
  2. Step 2: Convert to fraction form
    362.37/543.08 = 197.92/x
  3. Step 3: Cross multiply
    362.37x = 543.08 × 197.92
  4. Step 4: Simplify right side
    362.37x = 107,484.05
  5. Step 5: Solve for x
    x = 107,484.05/362.37
  6. Step 6: Final answer
    x = 296.61

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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.