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Finding the Fourth Proportional to 282.21, 422.71 and 137.63

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Solution

The fourth proportional to 282.21, 422.71 and 137.63 is: 206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.21 : 422.71 = 137.63 : x
  2. Step 2: Convert to fraction form
    282.21/422.71 = 137.63/x
  3. Step 3: Cross multiply
    282.21x = 422.71 × 137.63
  4. Step 4: Simplify right side
    282.21x = 58,175.12
  5. Step 5: Solve for x
    x = 58,175.12/282.21
  6. Step 6: Final answer
    x = 206.14

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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.