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Finding the Fourth Proportional to 186.70, 280.11 and 118.27

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Solution

The fourth proportional to 186.70, 280.11 and 118.27 is: 177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.70 : 280.11 = 118.27 : x
  2. Step 2: Convert to fraction form
    186.70/280.11 = 118.27/x
  3. Step 3: Cross multiply
    186.70x = 280.11 × 118.27
  4. Step 4: Simplify right side
    186.70x = 33,128.61
  5. Step 5: Solve for x
    x = 33,128.61/186.70
  6. Step 6: Final answer
    x = 177.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.