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Finding the Fourth Proportional to 226.65, 338.97 and 202.47

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Solution

The fourth proportional to 226.65, 338.97 and 202.47 is: 302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.65 : 338.97 = 202.47 : x
  2. Step 2: Convert to fraction form
    226.65/338.97 = 202.47/x
  3. Step 3: Cross multiply
    226.65x = 338.97 × 202.47
  4. Step 4: Simplify right side
    226.65x = 68,631.26
  5. Step 5: Solve for x
    x = 68,631.26/226.65
  6. Step 6: Final answer
    x = 302.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.