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Finding the Fourth Proportional to 363.10, 543.89 and 177.44

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Solution

The fourth proportional to 363.10, 543.89 and 177.44 is: 265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.10 : 543.89 = 177.44 : x
  2. Step 2: Convert to fraction form
    363.10/543.89 = 177.44/x
  3. Step 3: Cross multiply
    363.10x = 543.89 × 177.44
  4. Step 4: Simplify right side
    363.10x = 96,506.98
  5. Step 5: Solve for x
    x = 96,506.98/363.10
  6. Step 6: Final answer
    x = 265.79

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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.