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Finding the Fourth Proportional to 144.14, 198.57 and 119.14

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Solution

The fourth proportional to 144.14, 198.57 and 119.14 is: 164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.14 : 198.57 = 119.14 : x
  2. Step 2: Convert to fraction form
    144.14/198.57 = 119.14/x
  3. Step 3: Cross multiply
    144.14x = 198.57 × 119.14
  4. Step 4: Simplify right side
    144.14x = 23,657.06
  5. Step 5: Solve for x
    x = 23,657.06/144.14
  6. Step 6: Final answer
    x = 164.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.