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Finding the Fourth Proportional to 282.21, 423.61 and 189.39

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Solution

The fourth proportional to 282.21, 423.61 and 189.39 is: 284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.21 : 423.61 = 189.39 : x
  2. Step 2: Convert to fraction form
    282.21/423.61 = 189.39/x
  3. Step 3: Cross multiply
    282.21x = 423.61 × 189.39
  4. Step 4: Simplify right side
    282.21x = 80,227.02
  5. Step 5: Solve for x
    x = 80,227.02/282.21
  6. Step 6: Final answer
    x = 284.28

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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.