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Finding the Fourth Proportional to 226.94, 340.51 and 111.49

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Solution

The fourth proportional to 226.94, 340.51 and 111.49 is: 167.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.94 : 340.51 = 111.49 : x
  2. Step 2: Convert to fraction form
    226.94/340.51 = 111.49/x
  3. Step 3: Cross multiply
    226.94x = 340.51 × 111.49
  4. Step 4: Simplify right side
    226.94x = 37,963.46
  5. Step 5: Solve for x
    x = 37,963.46/226.94
  6. Step 6: Final answer
    x = 167.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.