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Finding the Fourth Proportional to 208.79, 313.43 and 122.23

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Solution

The fourth proportional to 208.79, 313.43 and 122.23 is: 183.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.79 : 313.43 = 122.23 : x
  2. Step 2: Convert to fraction form
    208.79/313.43 = 122.23/x
  3. Step 3: Cross multiply
    208.79x = 313.43 × 122.23
  4. Step 4: Simplify right side
    208.79x = 38,309.15
  5. Step 5: Solve for x
    x = 38,309.15/208.79
  6. Step 6: Final answer
    x = 183.48

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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.