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Finding the Fourth Proportional to 379.21, 568.84 and 119.23

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Solution

The fourth proportional to 379.21, 568.84 and 119.23 is: 178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.21 : 568.84 = 119.23 : x
  2. Step 2: Convert to fraction form
    379.21/568.84 = 119.23/x
  3. Step 3: Cross multiply
    379.21x = 568.84 × 119.23
  4. Step 4: Simplify right side
    379.21x = 67,822.79
  5. Step 5: Solve for x
    x = 67,822.79/379.21
  6. Step 6: Final answer
    x = 178.85

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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.