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Finding the Fourth Proportional to 236.48, 326.46 and 149.24

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Solution

The fourth proportional to 236.48, 326.46 and 149.24 is: 206.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.48 : 326.46 = 149.24 : x
  2. Step 2: Convert to fraction form
    236.48/326.46 = 149.24/x
  3. Step 3: Cross multiply
    236.48x = 326.46 × 149.24
  4. Step 4: Simplify right side
    236.48x = 48,720.89
  5. Step 5: Solve for x
    x = 48,720.89/236.48
  6. Step 6: Final answer
    x = 206.03

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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.