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Finding the Fourth Proportional to 367.10, 550.06 and 135.67

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Solution

The fourth proportional to 367.10, 550.06 and 135.67 is: 203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.10 : 550.06 = 135.67 : x
  2. Step 2: Convert to fraction form
    367.10/550.06 = 135.67/x
  3. Step 3: Cross multiply
    367.10x = 550.06 × 135.67
  4. Step 4: Simplify right side
    367.10x = 74,626.64
  5. Step 5: Solve for x
    x = 74,626.64/367.10
  6. Step 6: Final answer
    x = 203.29

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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.