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Finding the Fourth Proportional to 186.87, 258.18 and 163.59

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Solution

The fourth proportional to 186.87, 258.18 and 163.59 is: 226.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.87 : 258.18 = 163.59 : x
  2. Step 2: Convert to fraction form
    186.87/258.18 = 163.59/x
  3. Step 3: Cross multiply
    186.87x = 258.18 × 163.59
  4. Step 4: Simplify right side
    186.87x = 42,235.67
  5. Step 5: Solve for x
    x = 42,235.67/186.87
  6. Step 6: Final answer
    x = 226.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.