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Finding the Fourth Proportional to 186.05, 278.50 and 166.49

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Solution

The fourth proportional to 186.05, 278.50 and 166.49 is: 249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.05 : 278.50 = 166.49 : x
  2. Step 2: Convert to fraction form
    186.05/278.50 = 166.49/x
  3. Step 3: Cross multiply
    186.05x = 278.50 × 166.49
  4. Step 4: Simplify right side
    186.05x = 46,366.54
  5. Step 5: Solve for x
    x = 46,366.54/186.05
  6. Step 6: Final answer
    x = 249.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.