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Finding the Fourth Proportional to 237.72, 327.93 and 144.42

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Solution

The fourth proportional to 237.72, 327.93 and 144.42 is: 199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.72 : 327.93 = 144.42 : x
  2. Step 2: Convert to fraction form
    237.72/327.93 = 144.42/x
  3. Step 3: Cross multiply
    237.72x = 327.93 × 144.42
  4. Step 4: Simplify right side
    237.72x = 47,359.65
  5. Step 5: Solve for x
    x = 47,359.65/237.72
  6. Step 6: Final answer
    x = 199.22

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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.