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Finding the Fourth Proportional to 281.40, 421.48 and 226.99

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Solution

The fourth proportional to 281.40, 421.48 and 226.99 is: 339.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.40 : 421.48 = 226.99 : x
  2. Step 2: Convert to fraction form
    281.40/421.48 = 226.99/x
  3. Step 3: Cross multiply
    281.40x = 421.48 × 226.99
  4. Step 4: Simplify right side
    281.40x = 95,671.75
  5. Step 5: Solve for x
    x = 95,671.75/281.40
  6. Step 6: Final answer
    x = 339.98

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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.