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Finding the Fourth Proportional to 216.41, 298.71 and 141.73

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Solution

The fourth proportional to 216.41, 298.71 and 141.73 is: 195.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.41 : 298.71 = 141.73 : x
  2. Step 2: Convert to fraction form
    216.41/298.71 = 141.73/x
  3. Step 3: Cross multiply
    216.41x = 298.71 × 141.73
  4. Step 4: Simplify right side
    216.41x = 42,335.42
  5. Step 5: Solve for x
    x = 42,335.42/216.41
  6. Step 6: Final answer
    x = 195.63

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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.