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Finding the Fourth Proportional to 144.14, 198.87 and 130.28

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Solution

The fourth proportional to 144.14, 198.87 and 130.28 is: 179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.14 : 198.87 = 130.28 : x
  2. Step 2: Convert to fraction form
    144.14/198.87 = 130.28/x
  3. Step 3: Cross multiply
    144.14x = 198.87 × 130.28
  4. Step 4: Simplify right side
    144.14x = 25,908.78
  5. Step 5: Solve for x
    x = 25,908.78/144.14
  6. Step 6: Final answer
    x = 179.75

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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.