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Finding the Fourth Proportional to 281.67, 421.57 and 200.26

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Solution

The fourth proportional to 281.67, 421.57 and 200.26 is: 299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.67 : 421.57 = 200.26 : x
  2. Step 2: Convert to fraction form
    281.67/421.57 = 200.26/x
  3. Step 3: Cross multiply
    281.67x = 421.57 × 200.26
  4. Step 4: Simplify right side
    281.67x = 84,423.61
  5. Step 5: Solve for x
    x = 84,423.61/281.67
  6. Step 6: Final answer
    x = 299.73

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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.