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Finding the Fourth Proportional to 379.74, 569.10 and 196.75

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Solution

The fourth proportional to 379.74, 569.10 and 196.75 is: 294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.74 : 569.10 = 196.75 : x
  2. Step 2: Convert to fraction form
    379.74/569.10 = 196.75/x
  3. Step 3: Cross multiply
    379.74x = 569.10 × 196.75
  4. Step 4: Simplify right side
    379.74x = 111,970.43
  5. Step 5: Solve for x
    x = 111,970.43/379.74
  6. Step 6: Final answer
    x = 294.86

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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.