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Finding the Fourth Proportional to 226, 311.78 and 132.69

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Solution

The fourth proportional to 226, 311.78 and 132.69 is: 183.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    226 : 311.78 = 132.69 : x
  2. Step 2: Convert to fraction form
    226/311.78 = 132.69/x
  3. Step 3: Cross multiply
    226x = 311.78 × 132.69
  4. Step 4: Simplify right side
    226x = 41,370.09
  5. Step 5: Solve for x
    x = 41,370.09/226
  6. Step 6: Final answer
    x = 183.05

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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.