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Finding the Fourth Proportional to 266.75, 368.06 and 161.81

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Solution

The fourth proportional to 266.75, 368.06 and 161.81 is: 223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.75 : 368.06 = 161.81 : x
  2. Step 2: Convert to fraction form
    266.75/368.06 = 161.81/x
  3. Step 3: Cross multiply
    266.75x = 368.06 × 161.81
  4. Step 4: Simplify right side
    266.75x = 59,553.14
  5. Step 5: Solve for x
    x = 59,553.14/266.75
  6. Step 6: Final answer
    x = 223.26

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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.