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Finding the Fourth Proportional to 266.28, 367.44 and 149.76

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Solution

The fourth proportional to 266.28, 367.44 and 149.76 is: 206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.28 : 367.44 = 149.76 : x
  2. Step 2: Convert to fraction form
    266.28/367.44 = 149.76/x
  3. Step 3: Cross multiply
    266.28x = 367.44 × 149.76
  4. Step 4: Simplify right side
    266.28x = 55,027.81
  5. Step 5: Solve for x
    x = 55,027.81/266.28
  6. Step 6: Final answer
    x = 206.65

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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.