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Finding the Fourth Proportional to 323.67, 485.82 and 193.80

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Solution

The fourth proportional to 323.67, 485.82 and 193.80 is: 290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.67 : 485.82 = 193.80 : x
  2. Step 2: Convert to fraction form
    323.67/485.82 = 193.80/x
  3. Step 3: Cross multiply
    323.67x = 485.82 × 193.80
  4. Step 4: Simplify right side
    323.67x = 94,151.92
  5. Step 5: Solve for x
    x = 94,151.92/323.67
  6. Step 6: Final answer
    x = 290.89

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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.