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Finding the Fourth Proportional to 237.31, 327.53 and 144.12

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Solution

The fourth proportional to 237.31, 327.53 and 144.12 is: 198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.31 : 327.53 = 144.12 : x
  2. Step 2: Convert to fraction form
    237.31/327.53 = 144.12/x
  3. Step 3: Cross multiply
    237.31x = 327.53 × 144.12
  4. Step 4: Simplify right side
    237.31x = 47,201.95
  5. Step 5: Solve for x
    x = 47,201.95/237.31
  6. Step 6: Final answer
    x = 198.90

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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.