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Finding the Fourth Proportional to 366.67, 550.14 and 123.20

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Solution

The fourth proportional to 366.67, 550.14 and 123.20 is: 184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.67 : 550.14 = 123.20 : x
  2. Step 2: Convert to fraction form
    366.67/550.14 = 123.20/x
  3. Step 3: Cross multiply
    366.67x = 550.14 × 123.20
  4. Step 4: Simplify right side
    366.67x = 67,777.25
  5. Step 5: Solve for x
    x = 67,777.25/366.67
  6. Step 6: Final answer
    x = 184.85

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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.