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Finding the Fourth Proportional to 323.85, 485.96 and 194.17

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Solution

The fourth proportional to 323.85, 485.96 and 194.17 is: 291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.85 : 485.96 = 194.17 : x
  2. Step 2: Convert to fraction form
    323.85/485.96 = 194.17/x
  3. Step 3: Cross multiply
    323.85x = 485.96 × 194.17
  4. Step 4: Simplify right side
    323.85x = 94,358.12
  5. Step 5: Solve for x
    x = 94,358.12/323.85
  6. Step 6: Final answer
    x = 291.36

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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.