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Finding the Fourth Proportional to 186.21, 256.77 and 119.69

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Solution

The fourth proportional to 186.21, 256.77 and 119.69 is: 165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.21 : 256.77 = 119.69 : x
  2. Step 2: Convert to fraction form
    186.21/256.77 = 119.69/x
  3. Step 3: Cross multiply
    186.21x = 256.77 × 119.69
  4. Step 4: Simplify right side
    186.21x = 30,731.76
  5. Step 5: Solve for x
    x = 30,731.76/186.21
  6. Step 6: Final answer
    x = 165.04

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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.