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Finding the Fourth Proportional to 186.55, 279.84 and 78.41

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Solution

The fourth proportional to 186.55, 279.84 and 78.41 is: 117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.55 : 279.84 = 78.41 : x
  2. Step 2: Convert to fraction form
    186.55/279.84 = 78.41/x
  3. Step 3: Cross multiply
    186.55x = 279.84 × 78.41
  4. Step 4: Simplify right side
    186.55x = 21,942.25
  5. Step 5: Solve for x
    x = 21,942.25/186.55
  6. Step 6: Final answer
    x = 117.62

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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.