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Finding the Fourth Proportional to 322.92, 445.48 and 191.86

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Solution

The fourth proportional to 322.92, 445.48 and 191.86 is: 264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.92 : 445.48 = 191.86 : x
  2. Step 2: Convert to fraction form
    322.92/445.48 = 191.86/x
  3. Step 3: Cross multiply
    322.92x = 445.48 × 191.86
  4. Step 4: Simplify right side
    322.92x = 85,468.20
  5. Step 5: Solve for x
    x = 85,468.20/322.92
  6. Step 6: Final answer
    x = 264.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.