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Finding the Fourth Proportional to 186.41, 257.23 and 107.71

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Solution

The fourth proportional to 186.41, 257.23 and 107.71 is: 148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.41 : 257.23 = 107.71 : x
  2. Step 2: Convert to fraction form
    186.41/257.23 = 107.71/x
  3. Step 3: Cross multiply
    186.41x = 257.23 × 107.71
  4. Step 4: Simplify right side
    186.41x = 27,706.24
  5. Step 5: Solve for x
    x = 27,706.24/186.41
  6. Step 6: Final answer
    x = 148.63

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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.