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Finding the Fourth Proportional to 209.99, 289.62 and 154.61

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Solution

The fourth proportional to 209.99, 289.62 and 154.61 is: 213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.99 : 289.62 = 154.61 : x
  2. Step 2: Convert to fraction form
    209.99/289.62 = 154.61/x
  3. Step 3: Cross multiply
    209.99x = 289.62 × 154.61
  4. Step 4: Simplify right side
    209.99x = 44,776.70
  5. Step 5: Solve for x
    x = 44,776.70/209.99
  6. Step 6: Final answer
    x = 213.24

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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.