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Finding the Fourth Proportional to 209.09, 288.50 and 121.71

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Solution

The fourth proportional to 209.09, 288.50 and 121.71 is: 167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.09 : 288.50 = 121.71 : x
  2. Step 2: Convert to fraction form
    209.09/288.50 = 121.71/x
  3. Step 3: Cross multiply
    209.09x = 288.50 × 121.71
  4. Step 4: Simplify right side
    209.09x = 35,113.81
  5. Step 5: Solve for x
    x = 35,113.81/209.09
  6. Step 6: Final answer
    x = 167.93

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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.