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Finding the Fourth Proportional to 379.85, 569.61 and 196.85

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Solution

The fourth proportional to 379.85, 569.61 and 196.85 is: 295.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.85 : 569.61 = 196.85 : x
  2. Step 2: Convert to fraction form
    379.85/569.61 = 196.85/x
  3. Step 3: Cross multiply
    379.85x = 569.61 × 196.85
  4. Step 4: Simplify right side
    379.85x = 112,127.73
  5. Step 5: Solve for x
    x = 112,127.73/379.85
  6. Step 6: Final answer
    x = 295.19

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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.