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Finding the Fourth Proportional to 209.45, 288.89 and 181.77

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Solution

The fourth proportional to 209.45, 288.89 and 181.77 is: 250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.45 : 288.89 = 181.77 : x
  2. Step 2: Convert to fraction form
    209.45/288.89 = 181.77/x
  3. Step 3: Cross multiply
    209.45x = 288.89 × 181.77
  4. Step 4: Simplify right side
    209.45x = 52,511.54
  5. Step 5: Solve for x
    x = 52,511.54/209.45
  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.