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Finding the Fourth Proportional to 209.27, 314.04 and 122.65

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Solution

The fourth proportional to 209.27, 314.04 and 122.65 is: 184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.27 : 314.04 = 122.65 : x
  2. Step 2: Convert to fraction form
    209.27/314.04 = 122.65/x
  3. Step 3: Cross multiply
    209.27x = 314.04 × 122.65
  4. Step 4: Simplify right side
    209.27x = 38,517.01
  5. Step 5: Solve for x
    x = 38,517.01/209.27
  6. Step 6: Final answer
    x = 184.05

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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.