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Finding the Fourth Proportional to 277.80, 416.46 and 104.34

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Solution

The fourth proportional to 277.80, 416.46 and 104.34 is: 156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.80 : 416.46 = 104.34 : x
  2. Step 2: Convert to fraction form
    277.80/416.46 = 104.34/x
  3. Step 3: Cross multiply
    277.80x = 416.46 × 104.34
  4. Step 4: Simplify right side
    277.80x = 43,453.44
  5. Step 5: Solve for x
    x = 43,453.44/277.80
  6. Step 6: Final answer
    x = 156.42

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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.