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Finding the Fourth Proportional to 185.11, 277.40 and 82.36

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Solution

The fourth proportional to 185.11, 277.40 and 82.36 is: 123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.11 : 277.40 = 82.36 : x
  2. Step 2: Convert to fraction form
    185.11/277.40 = 82.36/x
  3. Step 3: Cross multiply
    185.11x = 277.40 × 82.36
  4. Step 4: Simplify right side
    185.11x = 22,844.87
  5. Step 5: Solve for x
    x = 22,844.87/185.11
  6. Step 6: Final answer
    x = 123.42

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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.