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Finding the Fourth Proportional to 366.81, 550.27 and 119.93

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Solution

The fourth proportional to 366.81, 550.27 and 119.93 is: 179.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.81 : 550.27 = 119.93 : x
  2. Step 2: Convert to fraction form
    366.81/550.27 = 119.93/x
  3. Step 3: Cross multiply
    366.81x = 550.27 × 119.93
  4. Step 4: Simplify right side
    366.81x = 65,992.59
  5. Step 5: Solve for x
    x = 65,992.59/366.81
  6. Step 6: Final answer
    x = 179.91

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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.