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Finding the Fourth Proportional to 209.50, 313.92 and 122.86

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Solution

The fourth proportional to 209.50, 313.92 and 122.86 is: 184.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.50 : 313.92 = 122.86 : x
  2. Step 2: Convert to fraction form
    209.50/313.92 = 122.86/x
  3. Step 3: Cross multiply
    209.50x = 313.92 × 122.86
  4. Step 4: Simplify right side
    209.50x = 38,568.21
  5. Step 5: Solve for x
    x = 38,568.21/209.50
  6. Step 6: Final answer
    x = 184.10

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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.