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Finding the Fourth Proportional to 186.20, 279.44 and 88.80

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Solution

The fourth proportional to 186.20, 279.44 and 88.80 is: 133.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.20 : 279.44 = 88.80 : x
  2. Step 2: Convert to fraction form
    186.20/279.44 = 88.80/x
  3. Step 3: Cross multiply
    186.20x = 279.44 × 88.80
  4. Step 4: Simplify right side
    186.20x = 24,814.27
  5. Step 5: Solve for x
    x = 24,814.27/186.20
  6. Step 6: Final answer
    x = 133.27

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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.