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Finding the Fourth Proportional to 323.73, 486.49 and 193.74

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Solution

The fourth proportional to 323.73, 486.49 and 193.74 is: 291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.73 : 486.49 = 193.74 : x
  2. Step 2: Convert to fraction form
    323.73/486.49 = 193.74/x
  3. Step 3: Cross multiply
    323.73x = 486.49 × 193.74
  4. Step 4: Simplify right side
    323.73x = 94,252.57
  5. Step 5: Solve for x
    x = 94,252.57/323.73
  6. Step 6: Final answer
    x = 291.15

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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.