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Finding the Fourth Proportional to 366.12, 504.92 and 226.22

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Solution

The fourth proportional to 366.12, 504.92 and 226.22 is: 311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.12 : 504.92 = 226.22 : x
  2. Step 2: Convert to fraction form
    366.12/504.92 = 226.22/x
  3. Step 3: Cross multiply
    366.12x = 504.92 × 226.22
  4. Step 4: Simplify right side
    366.12x = 114,219.35
  5. Step 5: Solve for x
    x = 114,219.35/366.12
  6. Step 6: Final answer
    x = 311.97

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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.