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Finding the Fourth Proportional to 226.01, 311.82 and 137.46

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Solution

The fourth proportional to 226.01, 311.82 and 137.46 is: 189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.01 : 311.82 = 137.46 : x
  2. Step 2: Convert to fraction form
    226.01/311.82 = 137.46/x
  3. Step 3: Cross multiply
    226.01x = 311.82 × 137.46
  4. Step 4: Simplify right side
    226.01x = 42,863.43
  5. Step 5: Solve for x
    x = 42,863.43/226.01
  6. Step 6: Final answer
    x = 189.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.