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Finding the Fourth Proportional to 298.09, 411.43 and 199.77

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Solution

The fourth proportional to 298.09, 411.43 and 199.77 is: 275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.09 : 411.43 = 199.77 : x
  2. Step 2: Convert to fraction form
    298.09/411.43 = 199.77/x
  3. Step 3: Cross multiply
    298.09x = 411.43 × 199.77
  4. Step 4: Simplify right side
    298.09x = 82,190.37
  5. Step 5: Solve for x
    x = 82,190.37/298.09
  6. Step 6: Final answer
    x = 275.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.