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Finding the Fourth Proportional to 282.15, 422.55 and 223.97

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Solution

The fourth proportional to 282.15, 422.55 and 223.97 is: 335.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.15 : 422.55 = 223.97 : x
  2. Step 2: Convert to fraction form
    282.15/422.55 = 223.97/x
  3. Step 3: Cross multiply
    282.15x = 422.55 × 223.97
  4. Step 4: Simplify right side
    282.15x = 94,636.41
  5. Step 5: Solve for x
    x = 94,636.41/282.15
  6. Step 6: Final answer
    x = 335.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.