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Finding the Fourth Proportional to 186.69, 280.14 and 77.05

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Solution

The fourth proportional to 186.69, 280.14 and 77.05 is: 115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.69 : 280.14 = 77.05 : x
  2. Step 2: Convert to fraction form
    186.69/280.14 = 77.05/x
  3. Step 3: Cross multiply
    186.69x = 280.14 × 77.05
  4. Step 4: Simplify right side
    186.69x = 21,585.28
  5. Step 5: Solve for x
    x = 21,585.28/186.69
  6. Step 6: Final answer
    x = 115.62

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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.