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Finding the Fourth Proportional to 216.21, 298.40 and 137.54

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Solution

The fourth proportional to 216.21, 298.40 and 137.54 is: 189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.21 : 298.40 = 137.54 : x
  2. Step 2: Convert to fraction form
    216.21/298.40 = 137.54/x
  3. Step 3: Cross multiply
    216.21x = 298.40 × 137.54
  4. Step 4: Simplify right side
    216.21x = 41,039.76
  5. Step 5: Solve for x
    x = 41,039.76/216.21
  6. Step 6: Final answer
    x = 189.81

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Why These Related Problems?

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