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Finding the Fourth Proportional to 297.46, 446.24 and 105.22

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Solution

The fourth proportional to 297.46, 446.24 and 105.22 is: 157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.46 : 446.24 = 105.22 : x
  2. Step 2: Convert to fraction form
    297.46/446.24 = 105.22/x
  3. Step 3: Cross multiply
    297.46x = 446.24 × 105.22
  4. Step 4: Simplify right side
    297.46x = 46,951.40
  5. Step 5: Solve for x
    x = 46,951.40/297.46
  6. Step 6: Final answer
    x = 157.84

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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.