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Finding the Fourth Proportional to 366.31, 505.41 and 226.48

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Solution

The fourth proportional to 366.31, 505.41 and 226.48 is: 312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.31 : 505.41 = 226.48 : x
  2. Step 2: Convert to fraction form
    366.31/505.41 = 226.48/x
  3. Step 3: Cross multiply
    366.31x = 505.41 × 226.48
  4. Step 4: Simplify right side
    366.31x = 114,465.26
  5. Step 5: Solve for x
    x = 114,465.26/366.31
  6. Step 6: Final answer
    x = 312.48

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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.