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Finding the Fourth Proportional to 336.88, 465.07 and 226.94

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Solution

The fourth proportional to 336.88, 465.07 and 226.94 is: 313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.88 : 465.07 = 226.94 : x
  2. Step 2: Convert to fraction form
    336.88/465.07 = 226.94/x
  3. Step 3: Cross multiply
    336.88x = 465.07 × 226.94
  4. Step 4: Simplify right side
    336.88x = 105,540.66
  5. Step 5: Solve for x
    x = 105,540.66/336.88
  6. Step 6: Final answer
    x = 313.29

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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.