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Finding the Fourth Proportional to 186.39, 257.31 and 124.33

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Solution

The fourth proportional to 186.39, 257.31 and 124.33 is: 171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.39 : 257.31 = 124.33 : x
  2. Step 2: Convert to fraction form
    186.39/257.31 = 124.33/x
  3. Step 3: Cross multiply
    186.39x = 257.31 × 124.33
  4. Step 4: Simplify right side
    186.39x = 31,991.35
  5. Step 5: Solve for x
    x = 31,991.35/186.39
  6. Step 6: Final answer
    x = 171.64

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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.