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Finding the Fourth Proportional to 186.87, 280.29 and 65.14

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Solution

The fourth proportional to 186.87, 280.29 and 65.14 is: 97.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.87 : 280.29 = 65.14 : x
  2. Step 2: Convert to fraction form
    186.87/280.29 = 65.14/x
  3. Step 3: Cross multiply
    186.87x = 280.29 × 65.14
  4. Step 4: Simplify right side
    186.87x = 18,257.63
  5. Step 5: Solve for x
    x = 18,257.63/186.87
  6. Step 6: Final answer
    x = 97.70

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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.