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Finding the Fourth Proportional to 186.10, 256.77 and 119.68

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Solution

The fourth proportional to 186.10, 256.77 and 119.68 is: 165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.10 : 256.77 = 119.68 : x
  2. Step 2: Convert to fraction form
    186.10/256.77 = 119.68/x
  3. Step 3: Cross multiply
    186.10x = 256.77 × 119.68
  4. Step 4: Simplify right side
    186.10x = 30,729.59
  5. Step 5: Solve for x
    x = 30,729.59/186.10
  6. Step 6: Final answer
    x = 165.13

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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.