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Finding the Fourth Proportional to 266.43, 367.86 and 173.33

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Solution

The fourth proportional to 266.43, 367.86 and 173.33 is: 239.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.43 : 367.86 = 173.33 : x
  2. Step 2: Convert to fraction form
    266.43/367.86 = 173.33/x
  3. Step 3: Cross multiply
    266.43x = 367.86 × 173.33
  4. Step 4: Simplify right side
    266.43x = 63,761.17
  5. Step 5: Solve for x
    x = 63,761.17/266.43
  6. Step 6: Final answer
    x = 239.32

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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.