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Finding the Fourth Proportional to 199.37, 297.60 and 190.49

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Solution

The fourth proportional to 199.37, 297.60 and 190.49 is: 284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.37 : 297.60 = 190.49 : x
  2. Step 2: Convert to fraction form
    199.37/297.60 = 190.49/x
  3. Step 3: Cross multiply
    199.37x = 297.60 × 190.49
  4. Step 4: Simplify right side
    199.37x = 56,690.57
  5. Step 5: Solve for x
    x = 56,690.57/199.37
  6. Step 6: Final answer
    x = 284.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.