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Finding the Fourth Proportional to 236.48, 326.16 and 147.92

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Solution

The fourth proportional to 236.48, 326.16 and 147.92 is: 204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.48 : 326.16 = 147.92 : x
  2. Step 2: Convert to fraction form
    236.48/326.16 = 147.92/x
  3. Step 3: Cross multiply
    236.48x = 326.16 × 147.92
  4. Step 4: Simplify right side
    236.48x = 48,245.59
  5. Step 5: Solve for x
    x = 48,245.59/236.48
  6. Step 6: Final answer
    x = 204.02

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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.