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Finding the Fourth Proportional to 234.27, 352.16 and 226.98

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Solution

The fourth proportional to 234.27, 352.16 and 226.98 is: 341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.27 : 352.16 = 226.98 : x
  2. Step 2: Convert to fraction form
    234.27/352.16 = 226.98/x
  3. Step 3: Cross multiply
    234.27x = 352.16 × 226.98
  4. Step 4: Simplify right side
    234.27x = 79,933.84
  5. Step 5: Solve for x
    x = 79,933.84/234.27
  6. Step 6: Final answer
    x = 341.20

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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.