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Finding the Fourth Proportional to 362.28, 542.94 and 197.83

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Solution

The fourth proportional to 362.28, 542.94 and 197.83 is: 296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.28 : 542.94 = 197.83 : x
  2. Step 2: Convert to fraction form
    362.28/542.94 = 197.83/x
  3. Step 3: Cross multiply
    362.28x = 542.94 × 197.83
  4. Step 4: Simplify right side
    362.28x = 107,406.70
  5. Step 5: Solve for x
    x = 107,406.70/362.28
  6. Step 6: Final answer
    x = 296.48

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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.