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Finding the Fourth Proportional to 277.67, 415.62 and 225.87

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Solution

The fourth proportional to 277.67, 415.62 and 225.87 is: 338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.67 : 415.62 = 225.87 : x
  2. Step 2: Convert to fraction form
    277.67/415.62 = 225.87/x
  3. Step 3: Cross multiply
    277.67x = 415.62 × 225.87
  4. Step 4: Simplify right side
    277.67x = 93,876.09
  5. Step 5: Solve for x
    x = 93,876.09/277.67
  6. Step 6: Final answer
    x = 338.09

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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.