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Finding the Fourth Proportional to 226.86, 313.07 and 133.66

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Solution

The fourth proportional to 226.86, 313.07 and 133.66 is: 184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.86 : 313.07 = 133.66 : x
  2. Step 2: Convert to fraction form
    226.86/313.07 = 133.66/x
  3. Step 3: Cross multiply
    226.86x = 313.07 × 133.66
  4. Step 4: Simplify right side
    226.86x = 41,844.94
  5. Step 5: Solve for x
    x = 41,844.94/226.86
  6. Step 6: Final answer
    x = 184.45

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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.