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Finding the Fourth Proportional to 281.45, 421.87 and 190.17

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Solution

The fourth proportional to 281.45, 421.87 and 190.17 is: 285.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.45 : 421.87 = 190.17 : x
  2. Step 2: Convert to fraction form
    281.45/421.87 = 190.17/x
  3. Step 3: Cross multiply
    281.45x = 421.87 × 190.17
  4. Step 4: Simplify right side
    281.45x = 80,227.02
  5. Step 5: Solve for x
    x = 80,227.02/281.45
  6. Step 6: Final answer
    x = 285.05

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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.