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Finding the Fourth Proportional to 277.23, 415.31 and 180.75

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Solution

The fourth proportional to 277.23, 415.31 and 180.75 is: 270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.23 : 415.31 = 180.75 : x
  2. Step 2: Convert to fraction form
    277.23/415.31 = 180.75/x
  3. Step 3: Cross multiply
    277.23x = 415.31 × 180.75
  4. Step 4: Simplify right side
    277.23x = 75,066.38
  5. Step 5: Solve for x
    x = 75,066.38/277.23
  6. Step 6: Final answer
    x = 270.77

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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.