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Finding the Fourth Proportional to 298.09, 446.73 and 153.37

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Solution

The fourth proportional to 298.09, 446.73 and 153.37 is: 229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.09 : 446.73 = 153.37 : x
  2. Step 2: Convert to fraction form
    298.09/446.73 = 153.37/x
  3. Step 3: Cross multiply
    298.09x = 446.73 × 153.37
  4. Step 4: Simplify right side
    298.09x = 68,514.98
  5. Step 5: Solve for x
    x = 68,514.98/298.09
  6. Step 6: Final answer
    x = 229.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.