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Finding the Fourth Proportional to 237.33, 327.49 and 144.05

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Solution

The fourth proportional to 237.33, 327.49 and 144.05 is: 198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.33 : 327.49 = 144.05 : x
  2. Step 2: Convert to fraction form
    237.33/327.49 = 144.05/x
  3. Step 3: Cross multiply
    237.33x = 327.49 × 144.05
  4. Step 4: Simplify right side
    237.33x = 47,172.94
  5. Step 5: Solve for x
    x = 47,172.94/237.33
  6. Step 6: Final answer
    x = 198.77

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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.