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Finding the Fourth Proportional to 216.68, 298.90 and 181.75

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Solution

The fourth proportional to 216.68, 298.90 and 181.75 is: 250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.68 : 298.90 = 181.75 : x
  2. Step 2: Convert to fraction form
    216.68/298.90 = 181.75/x
  3. Step 3: Cross multiply
    216.68x = 298.90 × 181.75
  4. Step 4: Simplify right side
    216.68x = 54,324.55
  5. Step 5: Solve for x
    x = 54,324.55/216.68
  6. Step 6: Final answer
    x = 250.71

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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.