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Finding the Fourth Proportional to 226.86, 338.51 and 202.56

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Solution

The fourth proportional to 226.86, 338.51 and 202.56 is: 302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.86 : 338.51 = 202.56 : x
  2. Step 2: Convert to fraction form
    226.86/338.51 = 202.56/x
  3. Step 3: Cross multiply
    226.86x = 338.51 × 202.56
  4. Step 4: Simplify right side
    226.86x = 68,567.57
  5. Step 5: Solve for x
    x = 68,567.57/226.86
  6. Step 6: Final answer
    x = 302.25

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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.