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Finding the Fourth Proportional to 186.09, 256.77 and 107.41

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Solution

The fourth proportional to 186.09, 256.77 and 107.41 is: 148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.09 : 256.77 = 107.41 : x
  2. Step 2: Convert to fraction form
    186.09/256.77 = 107.41/x
  3. Step 3: Cross multiply
    186.09x = 256.77 × 107.41
  4. Step 4: Simplify right side
    186.09x = 27,578.78
  5. Step 5: Solve for x
    x = 27,578.78/186.09
  6. Step 6: Final answer
    x = 148.20

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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.