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Finding the Fourth Proportional to 186.86, 280.27 and 65.12

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Solution

The fourth proportional to 186.86, 280.27 and 65.12 is: 97.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.86 : 280.27 = 65.12 : x
  2. Step 2: Convert to fraction form
    186.86/280.27 = 65.12/x
  3. Step 3: Cross multiply
    186.86x = 280.27 × 65.12
  4. Step 4: Simplify right side
    186.86x = 18,249.62
  5. Step 5: Solve for x
    x = 18,249.62/186.86
  6. Step 6: Final answer
    x = 97.66

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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.