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Finding the Fourth Proportional to 266.32, 367.49 and 149.86

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Solution

The fourth proportional to 266.32, 367.49 and 149.86 is: 206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.32 : 367.49 = 149.86 : x
  2. Step 2: Convert to fraction form
    266.32/367.49 = 149.86/x
  3. Step 3: Cross multiply
    266.32x = 367.49 × 149.86
  4. Step 4: Simplify right side
    266.32x = 55,069.46
  5. Step 5: Solve for x
    x = 55,069.46/266.32
  6. Step 6: Final answer
    x = 206.78

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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.