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Finding the Fourth Proportional to 277.36, 415.49 and 180.88

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Solution

The fourth proportional to 277.36, 415.49 and 180.88 is: 270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.36 : 415.49 = 180.88 : x
  2. Step 2: Convert to fraction form
    277.36/415.49 = 180.88/x
  3. Step 3: Cross multiply
    277.36x = 415.49 × 180.88
  4. Step 4: Simplify right side
    277.36x = 75,152.21
  5. Step 5: Solve for x
    x = 75,152.21/277.36
  6. Step 6: Final answer
    x = 270.96

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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.