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Finding the Fourth Proportional to 277.37, 382.38 and 189.89

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Solution

The fourth proportional to 277.37, 382.38 and 189.89 is: 261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.37 : 382.38 = 189.89 : x
  2. Step 2: Convert to fraction form
    277.37/382.38 = 189.89/x
  3. Step 3: Cross multiply
    277.37x = 382.38 × 189.89
  4. Step 4: Simplify right side
    277.37x = 72,608.23
  5. Step 5: Solve for x
    x = 72,608.23/277.37
  6. Step 6: Final answer
    x = 261.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.