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Finding the Fourth Proportional to 209.34, 313.83 and 180.79

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Solution

The fourth proportional to 209.34, 313.83 and 180.79 is: 271.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.34 : 313.83 = 180.79 : x
  2. Step 2: Convert to fraction form
    209.34/313.83 = 180.79/x
  3. Step 3: Cross multiply
    209.34x = 313.83 × 180.79
  4. Step 4: Simplify right side
    209.34x = 56,736.54
  5. Step 5: Solve for x
    x = 56,736.54/209.34
  6. Step 6: Final answer
    x = 271.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.