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Finding the Fourth Proportional to 266.06, 367.16 and 161.14

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Solution

The fourth proportional to 266.06, 367.16 and 161.14 is: 222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.06 : 367.16 = 161.14 : x
  2. Step 2: Convert to fraction form
    266.06/367.16 = 161.14/x
  3. Step 3: Cross multiply
    266.06x = 367.16 × 161.14
  4. Step 4: Simplify right side
    266.06x = 59,164.16
  5. Step 5: Solve for x
    x = 59,164.16/266.06
  6. Step 6: Final answer
    x = 222.37

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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.