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Finding the Fourth Proportional to 363.93, 544.50 and 201.72

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Solution

The fourth proportional to 363.93, 544.50 and 201.72 is: 301.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.93 : 544.50 = 201.72 : x
  2. Step 2: Convert to fraction form
    363.93/544.50 = 201.72/x
  3. Step 3: Cross multiply
    363.93x = 544.50 × 201.72
  4. Step 4: Simplify right side
    363.93x = 109,836.54
  5. Step 5: Solve for x
    x = 109,836.54/363.93
  6. Step 6: Final answer
    x = 301.81

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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.