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Finding the Fourth Proportional to 186.87, 280.26 and 71.31

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Solution

The fourth proportional to 186.87, 280.26 and 71.31 is: 106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.87 : 280.26 = 71.31 : x
  2. Step 2: Convert to fraction form
    186.87/280.26 = 71.31/x
  3. Step 3: Cross multiply
    186.87x = 280.26 × 71.31
  4. Step 4: Simplify right side
    186.87x = 19,985.34
  5. Step 5: Solve for x
    x = 19,985.34/186.87
  6. Step 6: Final answer
    x = 106.95

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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.