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Finding the Fourth Proportional to 379.21, 568.98 and 159.89

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Solution

The fourth proportional to 379.21, 568.98 and 159.89 is: 239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.21 : 568.98 = 159.89 : x
  2. Step 2: Convert to fraction form
    379.21/568.98 = 159.89/x
  3. Step 3: Cross multiply
    379.21x = 568.98 × 159.89
  4. Step 4: Simplify right side
    379.21x = 90,974.21
  5. Step 5: Solve for x
    x = 90,974.21/379.21
  6. Step 6: Final answer
    x = 239.90

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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.