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Finding the Fourth Proportional to 209.25, 288.99 and 162.54

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Solution

The fourth proportional to 209.25, 288.99 and 162.54 is: 224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.25 : 288.99 = 162.54 : x
  2. Step 2: Convert to fraction form
    209.25/288.99 = 162.54/x
  3. Step 3: Cross multiply
    209.25x = 288.99 × 162.54
  4. Step 4: Simplify right side
    209.25x = 46,972.43
  5. Step 5: Solve for x
    x = 46,972.43/209.25
  6. Step 6: Final answer
    x = 224.48

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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.