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Finding the Fourth Proportional to 266.09, 367.16 and 149.63

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Solution

The fourth proportional to 266.09, 367.16 and 149.63 is: 206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.09 : 367.16 = 149.63 : x
  2. Step 2: Convert to fraction form
    266.09/367.16 = 149.63/x
  3. Step 3: Cross multiply
    266.09x = 367.16 × 149.63
  4. Step 4: Simplify right side
    266.09x = 54,935.57
  5. Step 5: Solve for x
    x = 54,935.57/266.09
  6. Step 6: Final answer
    x = 206.46

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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.