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Finding the Fourth Proportional to 226.33, 312.34 and 133.07

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Solution

The fourth proportional to 226.33, 312.34 and 133.07 is: 183.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.33 : 312.34 = 133.07 : x
  2. Step 2: Convert to fraction form
    226.33/312.34 = 133.07/x
  3. Step 3: Cross multiply
    226.33x = 312.34 × 133.07
  4. Step 4: Simplify right side
    226.33x = 41,563.20
  5. Step 5: Solve for x
    x = 41,563.20/226.33
  6. Step 6: Final answer
    x = 183.64

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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.