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Finding the Fourth Proportional to 185.46, 277.83 and 120.38

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Solution

The fourth proportional to 185.46, 277.83 and 120.38 is: 180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.46 : 277.83 = 120.38 : x
  2. Step 2: Convert to fraction form
    185.46/277.83 = 120.38/x
  3. Step 3: Cross multiply
    185.46x = 277.83 × 120.38
  4. Step 4: Simplify right side
    185.46x = 33,443.79
  5. Step 5: Solve for x
    x = 33,443.79/185.46
  6. Step 6: Final answer
    x = 180.33

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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.