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Finding the Fourth Proportional to 281.40, 387.84 and 226.04

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Solution

The fourth proportional to 281.40, 387.84 and 226.04 is: 311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.40 : 387.84 = 226.04 : x
  2. Step 2: Convert to fraction form
    281.40/387.84 = 226.04/x
  3. Step 3: Cross multiply
    281.40x = 387.84 × 226.04
  4. Step 4: Simplify right side
    281.40x = 87,667.35
  5. Step 5: Solve for x
    x = 87,667.35/281.40
  6. Step 6: Final answer
    x = 311.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.