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Finding the Fourth Proportional to 237.34, 327.37 and 144.02

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Solution

The fourth proportional to 237.34, 327.37 and 144.02 is: 198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.34 : 327.37 = 144.02 : x
  2. Step 2: Convert to fraction form
    237.34/327.37 = 144.02/x
  3. Step 3: Cross multiply
    237.34x = 327.37 × 144.02
  4. Step 4: Simplify right side
    237.34x = 47,147.83
  5. Step 5: Solve for x
    x = 47,147.83/237.34
  6. Step 6: Final answer
    x = 198.65

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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.