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Finding the Fourth Proportional to 209.72, 314.08 and 137.36

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Solution

The fourth proportional to 209.72, 314.08 and 137.36 is: 205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.72 : 314.08 = 137.36 : x
  2. Step 2: Convert to fraction form
    209.72/314.08 = 137.36/x
  3. Step 3: Cross multiply
    209.72x = 314.08 × 137.36
  4. Step 4: Simplify right side
    209.72x = 43,142.03
  5. Step 5: Solve for x
    x = 43,142.03/209.72
  6. Step 6: Final answer
    x = 205.71

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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.