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Finding the Fourth Proportional to 379.43, 569.22 and 119.50

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Solution

The fourth proportional to 379.43, 569.22 and 119.50 is: 179.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.43 : 569.22 = 119.50 : x
  2. Step 2: Convert to fraction form
    379.43/569.22 = 119.50/x
  3. Step 3: Cross multiply
    379.43x = 569.22 × 119.50
  4. Step 4: Simplify right side
    379.43x = 68,019.79
  5. Step 5: Solve for x
    x = 68,019.79/379.43
  6. Step 6: Final answer
    x = 179.27

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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.