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Finding the Fourth Proportional to 226.94, 339.74 and 203.49

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Solution

The fourth proportional to 226.94, 339.74 and 203.49 is: 304.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.94 : 339.74 = 203.49 : x
  2. Step 2: Convert to fraction form
    226.94/339.74 = 203.49/x
  3. Step 3: Cross multiply
    226.94x = 339.74 × 203.49
  4. Step 4: Simplify right side
    226.94x = 69,132.68
  5. Step 5: Solve for x
    x = 69,132.68/226.94
  6. Step 6: Final answer
    x = 304.64

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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.