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Finding the Fourth Proportional to 185.22, 277.83 and 82.49

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Solution

The fourth proportional to 185.22, 277.83 and 82.49 is: 123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.22 : 277.83 = 82.49 : x
  2. Step 2: Convert to fraction form
    185.22/277.83 = 82.49/x
  3. Step 3: Cross multiply
    185.22x = 277.83 × 82.49
  4. Step 4: Simplify right side
    185.22x = 22,916.81
  5. Step 5: Solve for x
    x = 22,916.81/185.22
  6. Step 6: Final answer
    x = 123.73

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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.