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Finding the Fourth Proportional to 144.73, 199.57 and 118.30

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Solution

The fourth proportional to 144.73, 199.57 and 118.30 is: 163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.73 : 199.57 = 118.30 : x
  2. Step 2: Convert to fraction form
    144.73/199.57 = 118.30/x
  3. Step 3: Cross multiply
    144.73x = 199.57 × 118.30
  4. Step 4: Simplify right side
    144.73x = 23,609.93
  5. Step 5: Solve for x
    x = 23,609.93/144.73
  6. Step 6: Final answer
    x = 163.13

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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.