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Finding the Fourth Proportional to 209.48, 289.18 and 166.04

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Solution

The fourth proportional to 209.48, 289.18 and 166.04 is: 229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.48 : 289.18 = 166.04 : x
  2. Step 2: Convert to fraction form
    209.48/289.18 = 166.04/x
  3. Step 3: Cross multiply
    209.48x = 289.18 × 166.04
  4. Step 4: Simplify right side
    209.48x = 48,015.45
  5. Step 5: Solve for x
    x = 48,015.45/209.48
  6. Step 6: Final answer
    x = 229.21

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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.