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Finding the Fourth Proportional to 366.11, 505.37 and 226.34

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Solution

The fourth proportional to 366.11, 505.37 and 226.34 is: 312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.11 : 505.37 = 226.34 : x
  2. Step 2: Convert to fraction form
    366.11/505.37 = 226.34/x
  3. Step 3: Cross multiply
    366.11x = 505.37 × 226.34
  4. Step 4: Simplify right side
    366.11x = 114,381.79
  5. Step 5: Solve for x
    x = 114,381.79/366.11
  6. Step 6: Final answer
    x = 312.42

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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.