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Finding the Fourth Proportional to 363.80, 546.07 and 226.94

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Solution

The fourth proportional to 363.80, 546.07 and 226.94 is: 340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.80 : 546.07 = 226.94 : x
  2. Step 2: Convert to fraction form
    363.80/546.07 = 226.94/x
  3. Step 3: Cross multiply
    363.80x = 546.07 × 226.94
  4. Step 4: Simplify right side
    363.80x = 123,922.40
  5. Step 5: Solve for x
    x = 123,922.40/363.80
  6. Step 6: Final answer
    x = 340.64

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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.