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Finding the Fourth Proportional to 236.26, 326.10 and 148.98

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Solution

The fourth proportional to 236.26, 326.10 and 148.98 is: 205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.26 : 326.10 = 148.98 : x
  2. Step 2: Convert to fraction form
    236.26/326.10 = 148.98/x
  3. Step 3: Cross multiply
    236.26x = 326.10 × 148.98
  4. Step 4: Simplify right side
    236.26x = 48,582.38
  5. Step 5: Solve for x
    x = 48,582.38/236.26
  6. Step 6: Final answer
    x = 205.63

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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.