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Finding the Fourth Proportional to 281.26, 421.89 and 178.59

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Solution

The fourth proportional to 281.26, 421.89 and 178.59 is: 267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.26 : 421.89 = 178.59 : x
  2. Step 2: Convert to fraction form
    281.26/421.89 = 178.59/x
  3. Step 3: Cross multiply
    281.26x = 421.89 × 178.59
  4. Step 4: Simplify right side
    281.26x = 75,345.34
  5. Step 5: Solve for x
    x = 75,345.34/281.26
  6. Step 6: Final answer
    x = 267.89

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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.