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Finding the Fourth Proportional to 144.14, 199.14 and 137.33

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Solution

The fourth proportional to 144.14, 199.14 and 137.33 is: 189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.14 : 199.14 = 137.33 : x
  2. Step 2: Convert to fraction form
    144.14/199.14 = 137.33/x
  3. Step 3: Cross multiply
    144.14x = 199.14 × 137.33
  4. Step 4: Simplify right side
    144.14x = 27,346.90
  5. Step 5: Solve for x
    x = 27,346.90/144.14
  6. Step 6: Final answer
    x = 189.72

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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.