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Finding the Fourth Proportional to 226.52, 310.93 and 201.41

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Solution

The fourth proportional to 226.52, 310.93 and 201.41 is: 276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.52 : 310.93 = 201.41 : x
  2. Step 2: Convert to fraction form
    226.52/310.93 = 201.41/x
  3. Step 3: Cross multiply
    226.52x = 310.93 × 201.41
  4. Step 4: Simplify right side
    226.52x = 62,624.41
  5. Step 5: Solve for x
    x = 62,624.41/226.52
  6. Step 6: Final answer
    x = 276.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.