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Finding the Fourth Proportional to 281.67, 420.46 and 243.39

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Solution

The fourth proportional to 281.67, 420.46 and 243.39 is: 363.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.67 : 420.46 = 243.39 : x
  2. Step 2: Convert to fraction form
    281.67/420.46 = 243.39/x
  3. Step 3: Cross multiply
    281.67x = 420.46 × 243.39
  4. Step 4: Simplify right side
    281.67x = 102,338.10
  5. Step 5: Solve for x
    x = 102,338.10/281.67
  6. Step 6: Final answer
    x = 363.33

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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.