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Finding the Fourth Proportional to 277.37, 415.78 and 231.80

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Solution

The fourth proportional to 277.37, 415.78 and 231.80 is: 347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.37 : 415.78 = 231.80 : x
  2. Step 2: Convert to fraction form
    277.37/415.78 = 231.80/x
  3. Step 3: Cross multiply
    277.37x = 415.78 × 231.80
  4. Step 4: Simplify right side
    277.37x = 96,378.26
  5. Step 5: Solve for x
    x = 96,378.26/277.37
  6. Step 6: Final answer
    x = 347.48

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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.