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Finding the Fourth Proportional to 298.36, 446.49 and 182.77

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Solution

The fourth proportional to 298.36, 446.49 and 182.77 is: 273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.36 : 446.49 = 182.77 : x
  2. Step 2: Convert to fraction form
    298.36/446.49 = 182.77/x
  3. Step 3: Cross multiply
    298.36x = 446.49 × 182.77
  4. Step 4: Simplify right side
    298.36x = 81,604.98
  5. Step 5: Solve for x
    x = 81,604.98/298.36
  6. Step 6: Final answer
    x = 273.51

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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.