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Finding the Fourth Proportional to 237.26, 327.34 and 149.92

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Solution

The fourth proportional to 237.26, 327.34 and 149.92 is: 206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.26 : 327.34 = 149.92 : x
  2. Step 2: Convert to fraction form
    237.26/327.34 = 149.92/x
  3. Step 3: Cross multiply
    237.26x = 327.34 × 149.92
  4. Step 4: Simplify right side
    237.26x = 49,074.81
  5. Step 5: Solve for x
    x = 49,074.81/237.26
  6. Step 6: Final answer
    x = 206.84

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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.