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Finding the Fourth Proportional to 363.49, 543.86 and 201.29

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Solution

The fourth proportional to 363.49, 543.86 and 201.29 is: 301.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.49 : 543.86 = 201.29 : x
  2. Step 2: Convert to fraction form
    363.49/543.86 = 201.29/x
  3. Step 3: Cross multiply
    363.49x = 543.86 × 201.29
  4. Step 4: Simplify right side
    363.49x = 109,471.74
  5. Step 5: Solve for x
    x = 109,471.74/363.49
  6. Step 6: Final answer
    x = 301.17

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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.