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Finding the Fourth Proportional to 277.56, 415.80 and 181.44

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Solution

The fourth proportional to 277.56, 415.80 and 181.44 is: 271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.56 : 415.80 = 181.44 : x
  2. Step 2: Convert to fraction form
    277.56/415.80 = 181.44/x
  3. Step 3: Cross multiply
    277.56x = 415.80 × 181.44
  4. Step 4: Simplify right side
    277.56x = 75,442.75
  5. Step 5: Solve for x
    x = 75,442.75/277.56
  6. Step 6: Final answer
    x = 271.81

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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.