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Finding the Fourth Proportional to 186.86, 280.31 and 65.15

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Solution

The fourth proportional to 186.86, 280.31 and 65.15 is: 97.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.86 : 280.31 = 65.15 : x
  2. Step 2: Convert to fraction form
    186.86/280.31 = 65.15/x
  3. Step 3: Cross multiply
    186.86x = 280.31 × 65.15
  4. Step 4: Simplify right side
    186.86x = 18,263.46
  5. Step 5: Solve for x
    x = 18,263.46/186.86
  6. Step 6: Final answer
    x = 97.74

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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.