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Finding the Fourth Proportional to 277.38, 416.09 and 85

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Solution

The fourth proportional to 277.38, 416.09 and 85 is: 127.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.38 : 416.09 = 85 : x
  2. Step 2: Convert to fraction form
    277.38/416.09 = 85/x
  3. Step 3: Cross multiply
    277.38x = 416.09 × 85
  4. Step 4: Simplify right side
    277.38x = 35,367.65
  5. Step 5: Solve for x
    x = 35,367.65/277.38
  6. Step 6: Final answer
    x = 127.51

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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.