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Finding the Fourth Proportional to 366.83, 550.29 and 123.38

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Solution

The fourth proportional to 366.83, 550.29 and 123.38 is: 185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.83 : 550.29 = 123.38 : x
  2. Step 2: Convert to fraction form
    366.83/550.29 = 123.38/x
  3. Step 3: Cross multiply
    366.83x = 550.29 × 123.38
  4. Step 4: Simplify right side
    366.83x = 67,891.41
  5. Step 5: Solve for x
    x = 67,891.41/366.83
  6. Step 6: Final answer
    x = 185.08

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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.