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Finding the Fourth Proportional to 209.31, 289.08 and 154.23

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Solution

The fourth proportional to 209.31, 289.08 and 154.23 is: 213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.31 : 289.08 = 154.23 : x
  2. Step 2: Convert to fraction form
    209.31/289.08 = 154.23/x
  3. Step 3: Cross multiply
    209.31x = 289.08 × 154.23
  4. Step 4: Simplify right side
    209.31x = 44,584.81
  5. Step 5: Solve for x
    x = 44,584.81/209.31
  6. Step 6: Final answer
    x = 213.01

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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.