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Finding the Fourth Proportional to 379.19, 568.82 and 105.29

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Solution

The fourth proportional to 379.19, 568.82 and 105.29 is: 157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.19 : 568.82 = 105.29 : x
  2. Step 2: Convert to fraction form
    379.19/568.82 = 105.29/x
  3. Step 3: Cross multiply
    379.19x = 568.82 × 105.29
  4. Step 4: Simplify right side
    379.19x = 59,888.48
  5. Step 5: Solve for x
    x = 59,888.48/379.19
  6. Step 6: Final answer
    x = 157.94

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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.