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Finding the Fourth Proportional to 226.29, 312.25 and 133.05

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Solution

The fourth proportional to 226.29, 312.25 and 133.05 is: 183.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.29 : 312.25 = 133.05 : x
  2. Step 2: Convert to fraction form
    226.29/312.25 = 133.05/x
  3. Step 3: Cross multiply
    226.29x = 312.25 × 133.05
  4. Step 4: Simplify right side
    226.29x = 41,544.86
  5. Step 5: Solve for x
    x = 41,544.86/226.29
  6. Step 6: Final answer
    x = 183.59

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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.