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Finding the Fourth Proportional to 266.22, 367.66 and 237.23

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Solution

The fourth proportional to 266.22, 367.66 and 237.23 is: 327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.22 : 367.66 = 237.23 : x
  2. Step 2: Convert to fraction form
    266.22/367.66 = 237.23/x
  3. Step 3: Cross multiply
    266.22x = 367.66 × 237.23
  4. Step 4: Simplify right side
    266.22x = 87,219.74
  5. Step 5: Solve for x
    x = 87,219.74/266.22
  6. Step 6: Final answer
    x = 327.63

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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.