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Finding the Fourth Proportional to 209.30, 313.62 and 122.42

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Solution

The fourth proportional to 209.30, 313.62 and 122.42 is: 183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.30 : 313.62 = 122.42 : x
  2. Step 2: Convert to fraction form
    209.30/313.62 = 122.42/x
  3. Step 3: Cross multiply
    209.30x = 313.62 × 122.42
  4. Step 4: Simplify right side
    209.30x = 38,391.79
  5. Step 5: Solve for x
    x = 38,391.79/209.30
  6. Step 6: Final answer
    x = 183.43

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