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Finding the Fourth Proportional to 323.82, 486.47 and 194.15

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Solution

The fourth proportional to 323.82, 486.47 and 194.15 is: 291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.82 : 486.47 = 194.15 : x
  2. Step 2: Convert to fraction form
    323.82/486.47 = 194.15/x
  3. Step 3: Cross multiply
    323.82x = 486.47 × 194.15
  4. Step 4: Simplify right side
    323.82x = 94,449.85
  5. Step 5: Solve for x
    x = 94,449.85/323.82
  6. Step 6: Final answer
    x = 291.67

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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.