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Finding the Fourth Proportional to 277.14, 415.14 and 225.96

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Solution

The fourth proportional to 277.14, 415.14 and 225.96 is: 338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.14 : 415.14 = 225.96 : x
  2. Step 2: Convert to fraction form
    277.14/415.14 = 225.96/x
  3. Step 3: Cross multiply
    277.14x = 415.14 × 225.96
  4. Step 4: Simplify right side
    277.14x = 93,805.03
  5. Step 5: Solve for x
    x = 93,805.03/277.14
  6. Step 6: Final answer
    x = 338.48

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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.