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Finding the Fourth Proportional to 209.86, 289.13 and 163.07

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Solution

The fourth proportional to 209.86, 289.13 and 163.07 is: 224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.86 : 289.13 = 163.07 : x
  2. Step 2: Convert to fraction form
    209.86/289.13 = 163.07/x
  3. Step 3: Cross multiply
    209.86x = 289.13 × 163.07
  4. Step 4: Simplify right side
    209.86x = 47,148.43
  5. Step 5: Solve for x
    x = 47,148.43/209.86
  6. Step 6: Final answer
    x = 224.67

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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.