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Finding the Fourth Proportional to 367.37, 550.93 and 133.04

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Solution

The fourth proportional to 367.37, 550.93 and 133.04 is: 199.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.37 : 550.93 = 133.04 : x
  2. Step 2: Convert to fraction form
    367.37/550.93 = 133.04/x
  3. Step 3: Cross multiply
    367.37x = 550.93 × 133.04
  4. Step 4: Simplify right side
    367.37x = 73,296.65
  5. Step 5: Solve for x
    x = 73,296.65/367.37
  6. Step 6: Final answer
    x = 199.52

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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.