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Finding the Fourth Proportional to 226.75, 312.92 and 123.25

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Solution

The fourth proportional to 226.75, 312.92 and 123.25 is: 170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.75 : 312.92 = 123.25 : x
  2. Step 2: Convert to fraction form
    226.75/312.92 = 123.25/x
  3. Step 3: Cross multiply
    226.75x = 312.92 × 123.25
  4. Step 4: Simplify right side
    226.75x = 38,567.39
  5. Step 5: Solve for x
    x = 38,567.39/226.75
  6. Step 6: Final answer
    x = 170.09

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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.