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Finding the Fourth Proportional to 367.07, 550.49 and 161.60

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Solution

The fourth proportional to 367.07, 550.49 and 161.60 is: 242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.07 : 550.49 = 161.60 : x
  2. Step 2: Convert to fraction form
    367.07/550.49 = 161.60/x
  3. Step 3: Cross multiply
    367.07x = 550.49 × 161.60
  4. Step 4: Simplify right side
    367.07x = 88,955.62
  5. Step 5: Solve for x
    x = 88,955.62/367.07
  6. Step 6: Final answer
    x = 242.34

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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.