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Finding the Fourth Proportional to 379.45, 569.26 and 159.95

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Solution

The fourth proportional to 379.45, 569.26 and 159.95 is: 239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.45 : 569.26 = 159.95 : x
  2. Step 2: Convert to fraction form
    379.45/569.26 = 159.95/x
  3. Step 3: Cross multiply
    379.45x = 569.26 × 159.95
  4. Step 4: Simplify right side
    379.45x = 91,053.14
  5. Step 5: Solve for x
    x = 91,053.14/379.45
  6. Step 6: Final answer
    x = 239.96

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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.