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Finding the Fourth Proportional to 297.36, 446.22 and 249.84

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Solution

The fourth proportional to 297.36, 446.22 and 249.84 is: 374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.36 : 446.22 = 249.84 : x
  2. Step 2: Convert to fraction form
    297.36/446.22 = 249.84/x
  3. Step 3: Cross multiply
    297.36x = 446.22 × 249.84
  4. Step 4: Simplify right side
    297.36x = 111,483.60
  5. Step 5: Solve for x
    x = 111,483.60/297.36
  6. Step 6: Final answer
    x = 374.91

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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.