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Finding the Fourth Proportional to 371.97, 557.67 and 189.33

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Solution

The fourth proportional to 371.97, 557.67 and 189.33 is: 283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.97 : 557.67 = 189.33 : x
  2. Step 2: Convert to fraction form
    371.97/557.67 = 189.33/x
  3. Step 3: Cross multiply
    371.97x = 557.67 × 189.33
  4. Step 4: Simplify right side
    371.97x = 105,583.66
  5. Step 5: Solve for x
    x = 105,583.66/371.97
  6. Step 6: Final answer
    x = 283.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.