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Finding the Fourth Proportional to 281.70, 421.89 and 243.60

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Solution

The fourth proportional to 281.70, 421.89 and 243.60 is: 364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.70 : 421.89 = 243.60 : x
  2. Step 2: Convert to fraction form
    281.70/421.89 = 243.60/x
  3. Step 3: Cross multiply
    281.70x = 421.89 × 243.60
  4. Step 4: Simplify right side
    281.70x = 102,772.40
  5. Step 5: Solve for x
    x = 102,772.40/281.70
  6. Step 6: Final answer
    x = 364.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.