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Finding the Fourth Proportional to 297.44, 446.23 and 105.06

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Solution

The fourth proportional to 297.44, 446.23 and 105.06 is: 157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.44 : 446.23 = 105.06 : x
  2. Step 2: Convert to fraction form
    297.44/446.23 = 105.06/x
  3. Step 3: Cross multiply
    297.44x = 446.23 × 105.06
  4. Step 4: Simplify right side
    297.44x = 46,880.92
  5. Step 5: Solve for x
    x = 46,880.92/297.44
  6. Step 6: Final answer
    x = 157.61

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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.