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Finding the Fourth Proportional to 216.15, 298.05 and 141.27

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Solution

The fourth proportional to 216.15, 298.05 and 141.27 is: 194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.15 : 298.05 = 141.27 : x
  2. Step 2: Convert to fraction form
    216.15/298.05 = 141.27/x
  3. Step 3: Cross multiply
    216.15x = 298.05 × 141.27
  4. Step 4: Simplify right side
    216.15x = 42,105.52
  5. Step 5: Solve for x
    x = 42,105.52/216.15
  6. Step 6: Final answer
    x = 194.80

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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.