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Finding the Fourth Proportional to 266.13, 367.29 and 161.25

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Solution

The fourth proportional to 266.13, 367.29 and 161.25 is: 222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.13 : 367.29 = 161.25 : x
  2. Step 2: Convert to fraction form
    266.13/367.29 = 161.25/x
  3. Step 3: Cross multiply
    266.13x = 367.29 × 161.25
  4. Step 4: Simplify right side
    266.13x = 59,224.71
  5. Step 5: Solve for x
    x = 59,224.71/266.13
  6. Step 6: Final answer
    x = 222.54

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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.