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Finding the Fourth Proportional to 226.21, 311.86 and 147.39

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Solution

The fourth proportional to 226.21, 311.86 and 147.39 is: 203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.21 : 311.86 = 147.39 : x
  2. Step 2: Convert to fraction form
    226.21/311.86 = 147.39/x
  3. Step 3: Cross multiply
    226.21x = 311.86 × 147.39
  4. Step 4: Simplify right side
    226.21x = 45,965.05
  5. Step 5: Solve for x
    x = 45,965.05/226.21
  6. Step 6: Final answer
    x = 203.20

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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.