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Finding the Fourth Proportional to 232.92, 321.96 and 174.60

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Solution

The fourth proportional to 232.92, 321.96 and 174.60 is: 241.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.92 : 321.96 = 174.60 : x
  2. Step 2: Convert to fraction form
    232.92/321.96 = 174.60/x
  3. Step 3: Cross multiply
    232.92x = 321.96 × 174.60
  4. Step 4: Simplify right side
    232.92x = 56,214.22
  5. Step 5: Solve for x
    x = 56,214.22/232.92
  6. Step 6: Final answer
    x = 241.35

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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.