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Finding the Fourth Proportional to 146.37, 200.67 and 144.24

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Solution

The fourth proportional to 146.37, 200.67 and 144.24 is: 197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.37 : 200.67 = 144.24 : x
  2. Step 2: Convert to fraction form
    146.37/200.67 = 144.24/x
  3. Step 3: Cross multiply
    146.37x = 200.67 × 144.24
  4. Step 4: Simplify right side
    146.37x = 28,944.64
  5. Step 5: Solve for x
    x = 28,944.64/146.37
  6. Step 6: Final answer
    x = 197.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.