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Finding the Fourth Proportional to 186.27, 257.09 and 137.09

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Solution

The fourth proportional to 186.27, 257.09 and 137.09 is: 189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.27 : 257.09 = 137.09 : x
  2. Step 2: Convert to fraction form
    186.27/257.09 = 137.09/x
  3. Step 3: Cross multiply
    186.27x = 257.09 × 137.09
  4. Step 4: Simplify right side
    186.27x = 35,244.47
  5. Step 5: Solve for x
    x = 35,244.47/186.27
  6. Step 6: Final answer
    x = 189.21

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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.