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Finding the Fourth Proportional to 216.20, 298.26 and 137.37

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Solution

The fourth proportional to 216.20, 298.26 and 137.37 is: 189.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.20 : 298.26 = 137.37 : x
  2. Step 2: Convert to fraction form
    216.20/298.26 = 137.37/x
  3. Step 3: Cross multiply
    216.20x = 298.26 × 137.37
  4. Step 4: Simplify right side
    216.20x = 40,971.98
  5. Step 5: Solve for x
    x = 40,971.98/216.20
  6. Step 6: Final answer
    x = 189.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.