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Finding the Fourth Proportional to 266.29, 367.56 and 161.38

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Solution

The fourth proportional to 266.29, 367.56 and 161.38 is: 222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.29 : 367.56 = 161.38 : x
  2. Step 2: Convert to fraction form
    266.29/367.56 = 161.38/x
  3. Step 3: Cross multiply
    266.29x = 367.56 × 161.38
  4. Step 4: Simplify right side
    266.29x = 59,316.83
  5. Step 5: Solve for x
    x = 59,316.83/266.29
  6. Step 6: Final answer
    x = 222.75

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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.