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Finding the Fourth Proportional to 216.73, 298.41 and 191.81

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Solution

The fourth proportional to 216.73, 298.41 and 191.81 is: 264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.73 : 298.41 = 191.81 : x
  2. Step 2: Convert to fraction form
    216.73/298.41 = 191.81/x
  3. Step 3: Cross multiply
    216.73x = 298.41 × 191.81
  4. Step 4: Simplify right side
    216.73x = 57,238.02
  5. Step 5: Solve for x
    x = 57,238.02/216.73
  6. Step 6: Final answer
    x = 264.10

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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.