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Finding the Fourth Proportional to 226.26, 311.49 and 202.42

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Solution

The fourth proportional to 226.26, 311.49 and 202.42 is: 278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.26 : 311.49 = 202.42 : x
  2. Step 2: Convert to fraction form
    226.26/311.49 = 202.42/x
  3. Step 3: Cross multiply
    226.26x = 311.49 × 202.42
  4. Step 4: Simplify right side
    226.26x = 63,051.81
  5. Step 5: Solve for x
    x = 63,051.81/226.26
  6. Step 6: Final answer
    x = 278.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.