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Finding the Fourth Proportional to 366.73, 550.23 and 204.73

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Solution

The fourth proportional to 366.73, 550.23 and 204.73 is: 307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.73 : 550.23 = 204.73 : x
  2. Step 2: Convert to fraction form
    366.73/550.23 = 204.73/x
  3. Step 3: Cross multiply
    366.73x = 550.23 × 204.73
  4. Step 4: Simplify right side
    366.73x = 112,648.59
  5. Step 5: Solve for x
    x = 112,648.59/366.73
  6. Step 6: Final answer
    x = 307.17

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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.