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Finding the Fourth Proportional to 237.20, 327.27 and 149.81

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Solution

The fourth proportional to 237.20, 327.27 and 149.81 is: 206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.20 : 327.27 = 149.81 : x
  2. Step 2: Convert to fraction form
    237.20/327.27 = 149.81/x
  3. Step 3: Cross multiply
    237.20x = 327.27 × 149.81
  4. Step 4: Simplify right side
    237.20x = 49,029.14
  5. Step 5: Solve for x
    x = 49,029.14/237.20
  6. Step 6: Final answer
    x = 206.70

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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.