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Finding the Fourth Proportional to 209.81, 315.43 and 167.01

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Solution

The fourth proportional to 209.81, 315.43 and 167.01 is: 251.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.81 : 315.43 = 167.01 : x
  2. Step 2: Convert to fraction form
    209.81/315.43 = 167.01/x
  3. Step 3: Cross multiply
    209.81x = 315.43 × 167.01
  4. Step 4: Simplify right side
    209.81x = 52,680.14
  5. Step 5: Solve for x
    x = 52,680.14/209.81
  6. Step 6: Final answer
    x = 251.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.