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Finding the Fourth Proportional to 144.54, 213.86 and 144.14

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Solution

The fourth proportional to 144.54, 213.86 and 144.14 is: 213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.54 : 213.86 = 144.14 : x
  2. Step 2: Convert to fraction form
    144.54/213.86 = 144.14/x
  3. Step 3: Cross multiply
    144.54x = 213.86 × 144.14
  4. Step 4: Simplify right side
    144.54x = 30,825.07
  5. Step 5: Solve for x
    x = 30,825.07/144.54
  6. Step 6: Final answer
    x = 213.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.