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Finding the Fourth Proportional to 379.88, 569.83 and 106

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Solution

The fourth proportional to 379.88, 569.83 and 106 is: 159.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.88 : 569.83 = 106 : x
  2. Step 2: Convert to fraction form
    379.88/569.83 = 106/x
  3. Step 3: Cross multiply
    379.88x = 569.83 × 106
  4. Step 4: Simplify right side
    379.88x = 60,401.98
  5. Step 5: Solve for x
    x = 60,401.98/379.88
  6. Step 6: Final answer
    x = 159.00

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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.