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Finding the Fourth Proportional to 216.96, 298.59 and 199.48

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Solution

The fourth proportional to 216.96, 298.59 and 199.48 is: 274.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.96 : 298.59 = 199.48 : x
  2. Step 2: Convert to fraction form
    216.96/298.59 = 199.48/x
  3. Step 3: Cross multiply
    216.96x = 298.59 × 199.48
  4. Step 4: Simplify right side
    216.96x = 59,562.73
  5. Step 5: Solve for x
    x = 59,562.73/216.96
  6. Step 6: Final answer
    x = 274.53

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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.