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Finding the Fourth Proportional to 209.08, 312.09 and 194.06

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Solution

The fourth proportional to 209.08, 312.09 and 194.06 is: 289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.08 : 312.09 = 194.06 : x
  2. Step 2: Convert to fraction form
    209.08/312.09 = 194.06/x
  3. Step 3: Cross multiply
    209.08x = 312.09 × 194.06
  4. Step 4: Simplify right side
    209.08x = 60,564.24
  5. Step 5: Solve for x
    x = 60,564.24/209.08
  6. Step 6: Final answer
    x = 289.67

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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.