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Finding the Fourth Proportional to 363.03, 543.66 and 180.18

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Solution

The fourth proportional to 363.03, 543.66 and 180.18 is: 269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.03 : 543.66 = 180.18 : x
  2. Step 2: Convert to fraction form
    363.03/543.66 = 180.18/x
  3. Step 3: Cross multiply
    363.03x = 543.66 × 180.18
  4. Step 4: Simplify right side
    363.03x = 97,956.66
  5. Step 5: Solve for x
    x = 97,956.66/363.03
  6. Step 6: Final answer
    x = 269.83

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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.