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Finding the Fourth Proportional to 379.19, 568.82 and 159.80

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Solution

The fourth proportional to 379.19, 568.82 and 159.80 is: 239.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.19 : 568.82 = 159.80 : x
  2. Step 2: Convert to fraction form
    379.19/568.82 = 159.80/x
  3. Step 3: Cross multiply
    379.19x = 568.82 × 159.80
  4. Step 4: Simplify right side
    379.19x = 90,893.79
  5. Step 5: Solve for x
    x = 90,893.79/379.19
  6. Step 6: Final answer
    x = 239.70

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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.