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Finding the Fourth Proportional to 277, 415.26 and 139.96

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Solution

The fourth proportional to 277, 415.26 and 139.96 is: 209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277 : 415.26 = 139.96 : x
  2. Step 2: Convert to fraction form
    277/415.26 = 139.96/x
  3. Step 3: Cross multiply
    277x = 415.26 × 139.96
  4. Step 4: Simplify right side
    277x = 58,119.79
  5. Step 5: Solve for x
    x = 58,119.79/277
  6. Step 6: Final answer
    x = 209.82

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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.