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Finding the Fourth Proportional to 226.23, 310.86 and 184.69

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Solution

The fourth proportional to 226.23, 310.86 and 184.69 is: 253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.23 : 310.86 = 184.69 : x
  2. Step 2: Convert to fraction form
    226.23/310.86 = 184.69/x
  3. Step 3: Cross multiply
    226.23x = 310.86 × 184.69
  4. Step 4: Simplify right side
    226.23x = 57,412.73
  5. Step 5: Solve for x
    x = 57,412.73/226.23
  6. Step 6: Final answer
    x = 253.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.