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Finding the Fourth Proportional to 367.04, 550.63 and 123.50

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Solution

The fourth proportional to 367.04, 550.63 and 123.50 is: 185.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.04 : 550.63 = 123.50 : x
  2. Step 2: Convert to fraction form
    367.04/550.63 = 123.50/x
  3. Step 3: Cross multiply
    367.04x = 550.63 × 123.50
  4. Step 4: Simplify right side
    367.04x = 68,000.05
  5. Step 5: Solve for x
    x = 68,000.05/367.04
  6. Step 6: Final answer
    x = 185.27

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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.