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Finding the Fourth Proportional to 216.48, 298.99 and 167.95

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Solution

The fourth proportional to 216.48, 298.99 and 167.95 is: 231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.48 : 298.99 = 167.95 : x
  2. Step 2: Convert to fraction form
    216.48/298.99 = 167.95/x
  3. Step 3: Cross multiply
    216.48x = 298.99 × 167.95
  4. Step 4: Simplify right side
    216.48x = 50,215.37
  5. Step 5: Solve for x
    x = 50,215.37/216.48
  6. Step 6: Final answer
    x = 231.96

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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.