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Finding the Fourth Proportional to 237.49, 327.62 and 144.22

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Solution

The fourth proportional to 237.49, 327.62 and 144.22 is: 198.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.49 : 327.62 = 144.22 : x
  2. Step 2: Convert to fraction form
    237.49/327.62 = 144.22/x
  3. Step 3: Cross multiply
    237.49x = 327.62 × 144.22
  4. Step 4: Simplify right side
    237.49x = 47,249.36
  5. Step 5: Solve for x
    x = 47,249.36/237.49
  6. Step 6: Final answer
    x = 198.95

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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.