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Finding the Fourth Proportional to 263.85, 364.20 and 226.86

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Solution

The fourth proportional to 263.85, 364.20 and 226.86 is: 313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.85 : 364.20 = 226.86 : x
  2. Step 2: Convert to fraction form
    263.85/364.20 = 226.86/x
  3. Step 3: Cross multiply
    263.85x = 364.20 × 226.86
  4. Step 4: Simplify right side
    263.85x = 82,622.41
  5. Step 5: Solve for x
    x = 82,622.41/263.85
  6. Step 6: Final answer
    x = 313.14

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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.