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Finding the Fourth Proportional to 216.42, 298.61 and 196.25

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Solution

The fourth proportional to 216.42, 298.61 and 196.25 is: 270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.42 : 298.61 = 196.25 : x
  2. Step 2: Convert to fraction form
    216.42/298.61 = 196.25/x
  3. Step 3: Cross multiply
    216.42x = 298.61 × 196.25
  4. Step 4: Simplify right side
    216.42x = 58,603.45
  5. Step 5: Solve for x
    x = 58,603.45/216.42
  6. Step 6: Final answer
    x = 270.79

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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.