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Finding the Fourth Proportional to 323.88, 485.76 and 179.64

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Solution

The fourth proportional to 323.88, 485.76 and 179.64 is: 269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.88 : 485.76 = 179.64 : x
  2. Step 2: Convert to fraction form
    323.88/485.76 = 179.64/x
  3. Step 3: Cross multiply
    323.88x = 485.76 × 179.64
  4. Step 4: Simplify right side
    323.88x = 87,261.93
  5. Step 5: Solve for x
    x = 87,261.93/323.88
  6. Step 6: Final answer
    x = 269.43

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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.