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Finding the Fourth Proportional to 363.20, 543.36 and 235.20

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Solution

The fourth proportional to 363.20, 543.36 and 235.20 is: 351.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.20 : 543.36 = 235.20 : x
  2. Step 2: Convert to fraction form
    363.20/543.36 = 235.20/x
  3. Step 3: Cross multiply
    363.20x = 543.36 × 235.20
  4. Step 4: Simplify right side
    363.20x = 127,798.27
  5. Step 5: Solve for x
    x = 127,798.27/363.20
  6. Step 6: Final answer
    x = 351.87

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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.