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Finding the Fourth Proportional to 362.60, 543.38 and 197.93

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Solution

The fourth proportional to 362.60, 543.38 and 197.93 is: 296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.60 : 543.38 = 197.93 : x
  2. Step 2: Convert to fraction form
    362.60/543.38 = 197.93/x
  3. Step 3: Cross multiply
    362.60x = 543.38 × 197.93
  4. Step 4: Simplify right side
    362.60x = 107,551.57
  5. Step 5: Solve for x
    x = 107,551.57/362.60
  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.