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Finding the Fourth Proportional to 281.72, 420.31 and 250.94

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Solution

The fourth proportional to 281.72, 420.31 and 250.94 is: 374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.72 : 420.31 = 250.94 : x
  2. Step 2: Convert to fraction form
    281.72/420.31 = 250.94/x
  3. Step 3: Cross multiply
    281.72x = 420.31 × 250.94
  4. Step 4: Simplify right side
    281.72x = 105,473.96
  5. Step 5: Solve for x
    x = 105,473.96/281.72
  6. Step 6: Final answer
    x = 374.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.