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Finding the Fourth Proportional to 186.94, 282.08 and 179.46

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Solution

The fourth proportional to 186.94, 282.08 and 179.46 is: 270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.94 : 282.08 = 179.46 : x
  2. Step 2: Convert to fraction form
    186.94/282.08 = 179.46/x
  3. Step 3: Cross multiply
    186.94x = 282.08 × 179.46
  4. Step 4: Simplify right side
    186.94x = 50,622.08
  5. Step 5: Solve for x
    x = 50,622.08/186.94
  6. Step 6: Final answer
    x = 270.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.