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Finding the Fourth Proportional to 230.23, 345.49 and 122.09

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Solution

The fourth proportional to 230.23, 345.49 and 122.09 is: 183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.23 : 345.49 = 122.09 : x
  2. Step 2: Convert to fraction form
    230.23/345.49 = 122.09/x
  3. Step 3: Cross multiply
    230.23x = 345.49 × 122.09
  4. Step 4: Simplify right side
    230.23x = 42,180.87
  5. Step 5: Solve for x
    x = 42,180.87/230.23
  6. Step 6: Final answer
    x = 183.21

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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.