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Finding the Fourth Proportional to 281.94, 422.69 and 135.62

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Solution

The fourth proportional to 281.94, 422.69 and 135.62 is: 203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.94 : 422.69 = 135.62 : x
  2. Step 2: Convert to fraction form
    281.94/422.69 = 135.62/x
  3. Step 3: Cross multiply
    281.94x = 422.69 × 135.62
  4. Step 4: Simplify right side
    281.94x = 57,323.44
  5. Step 5: Solve for x
    x = 57,323.44/281.94
  6. Step 6: Final answer
    x = 203.32

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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.