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Finding the Fourth Proportional to 209.44, 289.14 and 172.72

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Solution

The fourth proportional to 209.44, 289.14 and 172.72 is: 238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.44 : 289.14 = 172.72 : x
  2. Step 2: Convert to fraction form
    209.44/289.14 = 172.72/x
  3. Step 3: Cross multiply
    209.44x = 289.14 × 172.72
  4. Step 4: Simplify right side
    209.44x = 49,940.26
  5. Step 5: Solve for x
    x = 49,940.26/209.44
  6. Step 6: Final answer
    x = 238.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.