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Finding the Fourth Proportional to 226.34, 311.46 and 205.64

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Solution

The fourth proportional to 226.34, 311.46 and 205.64 is: 282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.34 : 311.46 = 205.64 : x
  2. Step 2: Convert to fraction form
    226.34/311.46 = 205.64/x
  3. Step 3: Cross multiply
    226.34x = 311.46 × 205.64
  4. Step 4: Simplify right side
    226.34x = 64,048.63
  5. Step 5: Solve for x
    x = 64,048.63/226.34
  6. Step 6: Final answer
    x = 282.98

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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.