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Finding the Fourth Proportional to 363.06, 543.94 and 189.47

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Solution

The fourth proportional to 363.06, 543.94 and 189.47 is: 283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.06 : 543.94 = 189.47 : x
  2. Step 2: Convert to fraction form
    363.06/543.94 = 189.47/x
  3. Step 3: Cross multiply
    363.06x = 543.94 × 189.47
  4. Step 4: Simplify right side
    363.06x = 103,061.20
  5. Step 5: Solve for x
    x = 103,061.20/363.06
  6. Step 6: Final answer
    x = 283.87

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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.