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Finding the Fourth Proportional to 226.21, 338.77 and 153.85

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Solution

The fourth proportional to 226.21, 338.77 and 153.85 is: 230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.21 : 338.77 = 153.85 : x
  2. Step 2: Convert to fraction form
    226.21/338.77 = 153.85/x
  3. Step 3: Cross multiply
    226.21x = 338.77 × 153.85
  4. Step 4: Simplify right side
    226.21x = 52,119.76
  5. Step 5: Solve for x
    x = 52,119.76/226.21
  6. Step 6: Final answer
    x = 230.40

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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.