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Finding the Fourth Proportional to 277.89, 415.82 and 167.79

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Solution

The fourth proportional to 277.89, 415.82 and 167.79 is: 251.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.89 : 415.82 = 167.79 : x
  2. Step 2: Convert to fraction form
    277.89/415.82 = 167.79/x
  3. Step 3: Cross multiply
    277.89x = 415.82 × 167.79
  4. Step 4: Simplify right side
    277.89x = 69,772.42
  5. Step 5: Solve for x
    x = 69,772.42/277.89
  6. Step 6: Final answer
    x = 251.08

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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.