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Finding the Fourth Proportional to 209.58, 313.26 and 181.94

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Solution

The fourth proportional to 209.58, 313.26 and 181.94 is: 271.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.58 : 313.26 = 181.94 : x
  2. Step 2: Convert to fraction form
    209.58/313.26 = 181.94/x
  3. Step 3: Cross multiply
    209.58x = 313.26 × 181.94
  4. Step 4: Simplify right side
    209.58x = 56,993.64
  5. Step 5: Solve for x
    x = 56,993.64/209.58
  6. Step 6: Final answer
    x = 271.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.