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Finding the Fourth Proportional to 266.23, 367.38 and 149.77

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Solution

The fourth proportional to 266.23, 367.38 and 149.77 is: 206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.23 : 367.38 = 149.77 : x
  2. Step 2: Convert to fraction form
    266.23/367.38 = 149.77/x
  3. Step 3: Cross multiply
    266.23x = 367.38 × 149.77
  4. Step 4: Simplify right side
    266.23x = 55,022.50
  5. Step 5: Solve for x
    x = 55,022.50/266.23
  6. Step 6: Final answer
    x = 206.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.