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Finding the Fourth Proportional to 186.91, 278.96 and 182.05

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Solution

The fourth proportional to 186.91, 278.96 and 182.05 is: 271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.91 : 278.96 = 182.05 : x
  2. Step 2: Convert to fraction form
    186.91/278.96 = 182.05/x
  3. Step 3: Cross multiply
    186.91x = 278.96 × 182.05
  4. Step 4: Simplify right side
    186.91x = 50,784.67
  5. Step 5: Solve for x
    x = 50,784.67/186.91
  6. Step 6: Final answer
    x = 271.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.