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Finding the Fourth Proportional to 337.31, 465.35 and 226.75

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Solution

The fourth proportional to 337.31, 465.35 and 226.75 is: 312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.31 : 465.35 = 226.75 : x
  2. Step 2: Convert to fraction form
    337.31/465.35 = 226.75/x
  3. Step 3: Cross multiply
    337.31x = 465.35 × 226.75
  4. Step 4: Simplify right side
    337.31x = 105,516.69
  5. Step 5: Solve for x
    x = 105,516.69/337.31
  6. Step 6: Final answer
    x = 312.81

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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.