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Finding the Fourth Proportional to 337.14, 465.33 and 226.94

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Solution

The fourth proportional to 337.14, 465.33 and 226.94 is: 313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.14 : 465.33 = 226.94 : x
  2. Step 2: Convert to fraction form
    337.14/465.33 = 226.94/x
  3. Step 3: Cross multiply
    337.14x = 465.33 × 226.94
  4. Step 4: Simplify right side
    337.14x = 105,599.66
  5. Step 5: Solve for x
    x = 105,599.66/337.14
  6. Step 6: Final answer
    x = 313.22

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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.