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Finding the Fourth Proportional to 366.77, 506.07 and 226.77

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Solution

The fourth proportional to 366.77, 506.07 and 226.77 is: 312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.77 : 506.07 = 226.77 : x
  2. Step 2: Convert to fraction form
    366.77/506.07 = 226.77/x
  3. Step 3: Cross multiply
    366.77x = 506.07 × 226.77
  4. Step 4: Simplify right side
    366.77x = 114,761.49
  5. Step 5: Solve for x
    x = 114,761.49/366.77
  6. Step 6: Final answer
    x = 312.90

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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.