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Finding the Fourth Proportional to 216.51, 298.54 and 169.73

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Solution

The fourth proportional to 216.51, 298.54 and 169.73 is: 234.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.51 : 298.54 = 169.73 : x
  2. Step 2: Convert to fraction form
    216.51/298.54 = 169.73/x
  3. Step 3: Cross multiply
    216.51x = 298.54 × 169.73
  4. Step 4: Simplify right side
    216.51x = 50,671.19
  5. Step 5: Solve for x
    x = 50,671.19/216.51
  6. Step 6: Final answer
    x = 234.04

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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.