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Finding the Fourth Proportional to 323.32, 485.06 and 92.21

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Solution

The fourth proportional to 323.32, 485.06 and 92.21 is: 138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.32 : 485.06 = 92.21 : x
  2. Step 2: Convert to fraction form
    323.32/485.06 = 92.21/x
  3. Step 3: Cross multiply
    323.32x = 485.06 × 92.21
  4. Step 4: Simplify right side
    323.32x = 44,727.38
  5. Step 5: Solve for x
    x = 44,727.38/323.32
  6. Step 6: Final answer
    x = 138.34

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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.