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Finding the Fourth Proportional to 186.39, 257.24 and 107.71

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Solution

The fourth proportional to 186.39, 257.24 and 107.71 is: 148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.39 : 257.24 = 107.71 : x
  2. Step 2: Convert to fraction form
    186.39/257.24 = 107.71/x
  3. Step 3: Cross multiply
    186.39x = 257.24 × 107.71
  4. Step 4: Simplify right side
    186.39x = 27,706.95
  5. Step 5: Solve for x
    x = 27,706.95/186.39
  6. Step 6: Final answer
    x = 148.65

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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.