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Finding the Fourth Proportional to 323.81, 485.20 and 193.60

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Solution

The fourth proportional to 323.81, 485.20 and 193.60 is: 290.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.81 : 485.20 = 193.60 : x
  2. Step 2: Convert to fraction form
    323.81/485.20 = 193.60/x
  3. Step 3: Cross multiply
    323.81x = 485.20 × 193.60
  4. Step 4: Simplify right side
    323.81x = 93,934.72
  5. Step 5: Solve for x
    x = 93,934.72/323.81
  6. Step 6: Final answer
    x = 290.09

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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.