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Finding the Fourth Proportional to 226.36, 337.99 and 183.16

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Solution

The fourth proportional to 226.36, 337.99 and 183.16 is: 273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.36 : 337.99 = 183.16 : x
  2. Step 2: Convert to fraction form
    226.36/337.99 = 183.16/x
  3. Step 3: Cross multiply
    226.36x = 337.99 × 183.16
  4. Step 4: Simplify right side
    226.36x = 61,906.25
  5. Step 5: Solve for x
    x = 61,906.25/226.36
  6. Step 6: Final answer
    x = 273.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.