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Finding the Fourth Proportional to 209.71, 289.40 and 121.18

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Solution

The fourth proportional to 209.71, 289.40 and 121.18 is: 167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.71 : 289.40 = 121.18 : x
  2. Step 2: Convert to fraction form
    209.71/289.40 = 121.18/x
  3. Step 3: Cross multiply
    209.71x = 289.40 × 121.18
  4. Step 4: Simplify right side
    209.71x = 35,068.52
  5. Step 5: Solve for x
    x = 35,068.52/209.71
  6. Step 6: Final answer
    x = 167.22

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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.