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Finding the Fourth Proportional to 186.26, 279.42 and 78.05

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Solution

The fourth proportional to 186.26, 279.42 and 78.05 is: 117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.26 : 279.42 = 78.05 : x
  2. Step 2: Convert to fraction form
    186.26/279.42 = 78.05/x
  3. Step 3: Cross multiply
    186.26x = 279.42 × 78.05
  4. Step 4: Simplify right side
    186.26x = 21,808.73
  5. Step 5: Solve for x
    x = 21,808.73/186.26
  6. Step 6: Final answer
    x = 117.09

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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.