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Finding the Fourth Proportional to 226.40, 337.14 and 223.67

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Solution

The fourth proportional to 226.40, 337.14 and 223.67 is: 333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.40 : 337.14 = 223.67 : x
  2. Step 2: Convert to fraction form
    226.40/337.14 = 223.67/x
  3. Step 3: Cross multiply
    226.40x = 337.14 × 223.67
  4. Step 4: Simplify right side
    226.40x = 75,408.10
  5. Step 5: Solve for x
    x = 75,408.10/226.40
  6. Step 6: Final answer
    x = 333.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.