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Finding the Fourth Proportional to 186.82, 257.83 and 139.61

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Solution

The fourth proportional to 186.82, 257.83 and 139.61 is: 192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.82 : 257.83 = 139.61 : x
  2. Step 2: Convert to fraction form
    186.82/257.83 = 139.61/x
  3. Step 3: Cross multiply
    186.82x = 257.83 × 139.61
  4. Step 4: Simplify right side
    186.82x = 35,995.65
  5. Step 5: Solve for x
    x = 35,995.65/186.82
  6. Step 6: Final answer
    x = 192.68

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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.