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Finding the Fourth Proportional to 209.99, 313.37 and 173.08

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Solution

The fourth proportional to 209.99, 313.37 and 173.08 is: 258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.99 : 313.37 = 173.08 : x
  2. Step 2: Convert to fraction form
    209.99/313.37 = 173.08/x
  3. Step 3: Cross multiply
    209.99x = 313.37 × 173.08
  4. Step 4: Simplify right side
    209.99x = 54,238.25
  5. Step 5: Solve for x
    x = 54,238.25/209.99
  6. Step 6: Final answer
    x = 258.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.