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Finding the Fourth Proportional to 186.87, 257.84 and 119.60

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Solution

The fourth proportional to 186.87, 257.84 and 119.60 is: 165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.87 : 257.84 = 119.60 : x
  2. Step 2: Convert to fraction form
    186.87/257.84 = 119.60/x
  3. Step 3: Cross multiply
    186.87x = 257.84 × 119.60
  4. Step 4: Simplify right side
    186.87x = 30,837.71
  5. Step 5: Solve for x
    x = 30,837.71/186.87
  6. Step 6: Final answer
    x = 165.02

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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.