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Finding the Fourth Proportional to 226.11, 311.29 and 197.01

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Solution

The fourth proportional to 226.11, 311.29 and 197.01 is: 271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.11 : 311.29 = 197.01 : x
  2. Step 2: Convert to fraction form
    226.11/311.29 = 197.01/x
  3. Step 3: Cross multiply
    226.11x = 311.29 × 197.01
  4. Step 4: Simplify right side
    226.11x = 61,327.24
  5. Step 5: Solve for x
    x = 61,327.24/226.11
  6. Step 6: Final answer
    x = 271.23

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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.