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Finding the Fourth Proportional to 322.85, 445.69 and 216.69

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Solution

The fourth proportional to 322.85, 445.69 and 216.69 is: 299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.85 : 445.69 = 216.69 : x
  2. Step 2: Convert to fraction form
    322.85/445.69 = 216.69/x
  3. Step 3: Cross multiply
    322.85x = 445.69 × 216.69
  4. Step 4: Simplify right side
    322.85x = 96,576.57
  5. Step 5: Solve for x
    x = 96,576.57/322.85
  6. Step 6: Final answer
    x = 299.14

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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.