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Finding the Fourth Proportional to 216.17, 298.31 and 122.89

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Solution

The fourth proportional to 216.17, 298.31 and 122.89 is: 169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.17 : 298.31 = 122.89 : x
  2. Step 2: Convert to fraction form
    216.17/298.31 = 122.89/x
  3. Step 3: Cross multiply
    216.17x = 298.31 × 122.89
  4. Step 4: Simplify right side
    216.17x = 36,659.70
  5. Step 5: Solve for x
    x = 36,659.70/216.17
  6. Step 6: Final answer
    x = 169.59

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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.