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Finding the Fourth Proportional to 371.75, 557.83 and 179.38

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Solution

The fourth proportional to 371.75, 557.83 and 179.38 is: 269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.75 : 557.83 = 179.38 : x
  2. Step 2: Convert to fraction form
    371.75/557.83 = 179.38/x
  3. Step 3: Cross multiply
    371.75x = 557.83 × 179.38
  4. Step 4: Simplify right side
    371.75x = 100,063.55
  5. Step 5: Solve for x
    x = 100,063.55/371.75
  6. Step 6: Final answer
    x = 269.17

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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.