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Finding the Fourth Proportional to 266.06, 367.17 and 149.65

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Solution

The fourth proportional to 266.06, 367.17 and 149.65 is: 206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.06 : 367.17 = 149.65 : x
  2. Step 2: Convert to fraction form
    266.06/367.17 = 149.65/x
  3. Step 3: Cross multiply
    266.06x = 367.17 × 149.65
  4. Step 4: Simplify right side
    266.06x = 54,945.51
  5. Step 5: Solve for x
    x = 54,945.51/266.06
  6. Step 6: Final answer
    x = 206.51

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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.