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Finding the Fourth Proportional to 337.23, 464.81 and 226.67

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Solution

The fourth proportional to 337.23, 464.81 and 226.67 is: 312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.23 : 464.81 = 226.67 : x
  2. Step 2: Convert to fraction form
    337.23/464.81 = 226.67/x
  3. Step 3: Cross multiply
    337.23x = 464.81 × 226.67
  4. Step 4: Simplify right side
    337.23x = 105,355.03
  5. Step 5: Solve for x
    x = 105,355.03/337.23
  6. Step 6: Final answer
    x = 312.41

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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.