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Finding the Fourth Proportional to 216.24, 298.13 and 166.53

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Solution

The fourth proportional to 216.24, 298.13 and 166.53 is: 229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.24 : 298.13 = 166.53 : x
  2. Step 2: Convert to fraction form
    216.24/298.13 = 166.53/x
  3. Step 3: Cross multiply
    216.24x = 298.13 × 166.53
  4. Step 4: Simplify right side
    216.24x = 49,647.97
  5. Step 5: Solve for x
    x = 49,647.97/216.24
  6. Step 6: Final answer
    x = 229.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.