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Finding the Fourth Proportional to 297.94, 446.97 and 115.33

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Solution

The fourth proportional to 297.94, 446.97 and 115.33 is: 173.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.94 : 446.97 = 115.33 : x
  2. Step 2: Convert to fraction form
    297.94/446.97 = 115.33/x
  3. Step 3: Cross multiply
    297.94x = 446.97 × 115.33
  4. Step 4: Simplify right side
    297.94x = 51,548.87
  5. Step 5: Solve for x
    x = 51,548.87/297.94
  6. Step 6: Final answer
    x = 173.02

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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.