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Finding the Fourth Proportional to 282.92, 423.46 and 213.96

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Solution

The fourth proportional to 282.92, 423.46 and 213.96 is: 320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.92 : 423.46 = 213.96 : x
  2. Step 2: Convert to fraction form
    282.92/423.46 = 213.96/x
  3. Step 3: Cross multiply
    282.92x = 423.46 × 213.96
  4. Step 4: Simplify right side
    282.92x = 90,605.36
  5. Step 5: Solve for x
    x = 90,605.36/282.92
  6. Step 6: Final answer
    x = 320.26

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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.