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Finding the Fourth Proportional to 321.45, 481.77 and 177

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Solution

The fourth proportional to 321.45, 481.77 and 177 is: 265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.45 : 481.77 = 177 : x
  2. Step 2: Convert to fraction form
    321.45/481.77 = 177/x
  3. Step 3: Cross multiply
    321.45x = 481.77 × 177
  4. Step 4: Simplify right side
    321.45x = 85,273.29
  5. Step 5: Solve for x
    x = 85,273.29/321.45
  6. Step 6: Final answer
    x = 265.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.