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Finding the Fourth Proportional to 186.41, 257.26 and 107.74

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Solution

The fourth proportional to 186.41, 257.26 and 107.74 is: 148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.41 : 257.26 = 107.74 : x
  2. Step 2: Convert to fraction form
    186.41/257.26 = 107.74/x
  3. Step 3: Cross multiply
    186.41x = 257.26 × 107.74
  4. Step 4: Simplify right side
    186.41x = 27,717.65
  5. Step 5: Solve for x
    x = 27,717.65/186.41
  6. Step 6: Final answer
    x = 148.69

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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.