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Finding the Fourth Proportional to 266.05, 367.12 and 149.61

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Solution

The fourth proportional to 266.05, 367.12 and 149.61 is: 206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.05 : 367.12 = 149.61 : x
  2. Step 2: Convert to fraction form
    266.05/367.12 = 149.61/x
  3. Step 3: Cross multiply
    266.05x = 367.12 × 149.61
  4. Step 4: Simplify right side
    266.05x = 54,924.82
  5. Step 5: Solve for x
    x = 54,924.82/266.05
  6. Step 6: Final answer
    x = 206.45

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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.