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Finding the Fourth Proportional to 363.90, 545.05 and 226.66

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Solution

The fourth proportional to 363.90, 545.05 and 226.66 is: 339.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.90 : 545.05 = 226.66 : x
  2. Step 2: Convert to fraction form
    363.90/545.05 = 226.66/x
  3. Step 3: Cross multiply
    363.90x = 545.05 × 226.66
  4. Step 4: Simplify right side
    363.90x = 123,541.03
  5. Step 5: Solve for x
    x = 123,541.03/363.90
  6. Step 6: Final answer
    x = 339.49

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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.