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Finding the Fourth Proportional to 366.92, 550.22 and 135.77

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Solution

The fourth proportional to 366.92, 550.22 and 135.77 is: 203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.92 : 550.22 = 135.77 : x
  2. Step 2: Convert to fraction form
    366.92/550.22 = 135.77/x
  3. Step 3: Cross multiply
    366.92x = 550.22 × 135.77
  4. Step 4: Simplify right side
    366.92x = 74,702.69
  5. Step 5: Solve for x
    x = 74,702.69/366.92
  6. Step 6: Final answer
    x = 203.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.