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Finding the Fourth Proportional to 236.90, 326.94 and 149.57

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Solution

The fourth proportional to 236.90, 326.94 and 149.57 is: 206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.90 : 326.94 = 149.57 : x
  2. Step 2: Convert to fraction form
    236.90/326.94 = 149.57/x
  3. Step 3: Cross multiply
    236.90x = 326.94 × 149.57
  4. Step 4: Simplify right side
    236.90x = 48,900.42
  5. Step 5: Solve for x
    x = 48,900.42/236.90
  6. Step 6: Final answer
    x = 206.42

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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.