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Finding the Fourth Proportional to 281.41, 422.12 and 76

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Solution

The fourth proportional to 281.41, 422.12 and 76 is: 114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.41 : 422.12 = 76 : x
  2. Step 2: Convert to fraction form
    281.41/422.12 = 76/x
  3. Step 3: Cross multiply
    281.41x = 422.12 × 76
  4. Step 4: Simplify right side
    281.41x = 32,081.12
  5. Step 5: Solve for x
    x = 32,081.12/281.41
  6. Step 6: Final answer
    x = 114.00

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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.