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Finding the Fourth Proportional to 266.25, 367.43 and 149.81

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Solution

The fourth proportional to 266.25, 367.43 and 149.81 is: 206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.25 : 367.43 = 149.81 : x
  2. Step 2: Convert to fraction form
    266.25/367.43 = 149.81/x
  3. Step 3: Cross multiply
    266.25x = 367.43 × 149.81
  4. Step 4: Simplify right side
    266.25x = 55,044.69
  5. Step 5: Solve for x
    x = 55,044.69/266.25
  6. Step 6: Final answer
    x = 206.74

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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.