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Finding the Fourth Proportional to 322.57, 445.19 and 191.65

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Solution

The fourth proportional to 322.57, 445.19 and 191.65 is: 264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.57 : 445.19 = 191.65 : x
  2. Step 2: Convert to fraction form
    322.57/445.19 = 191.65/x
  3. Step 3: Cross multiply
    322.57x = 445.19 × 191.65
  4. Step 4: Simplify right side
    322.57x = 85,319.71
  5. Step 5: Solve for x
    x = 85,319.71/322.57
  6. Step 6: Final answer
    x = 264.50

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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.