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Finding the Fourth Proportional to 186.28, 257.19 and 112.73

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Solution

The fourth proportional to 186.28, 257.19 and 112.73 is: 155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.28 : 257.19 = 112.73 : x
  2. Step 2: Convert to fraction form
    186.28/257.19 = 112.73/x
  3. Step 3: Cross multiply
    186.28x = 257.19 × 112.73
  4. Step 4: Simplify right side
    186.28x = 28,991.95
  5. Step 5: Solve for x
    x = 28,991.95/186.28
  6. Step 6: Final answer
    x = 155.64

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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.