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Finding the Fourth Proportional to 186.58, 279.93 and 83.84

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Solution

The fourth proportional to 186.58, 279.93 and 83.84 is: 125.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.58 : 279.93 = 83.84 : x
  2. Step 2: Convert to fraction form
    186.58/279.93 = 83.84/x
  3. Step 3: Cross multiply
    186.58x = 279.93 × 83.84
  4. Step 4: Simplify right side
    186.58x = 23,469.33
  5. Step 5: Solve for x
    x = 23,469.33/186.58
  6. Step 6: Final answer
    x = 125.79

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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.