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Finding the Fourth Proportional to 216.87, 298.94 and 181.83

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Solution

The fourth proportional to 216.87, 298.94 and 181.83 is: 250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.87 : 298.94 = 181.83 : x
  2. Step 2: Convert to fraction form
    216.87/298.94 = 181.83/x
  3. Step 3: Cross multiply
    216.87x = 298.94 × 181.83
  4. Step 4: Simplify right side
    216.87x = 54,355.35
  5. Step 5: Solve for x
    x = 54,355.35/216.87
  6. Step 6: Final answer
    x = 250.64

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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.