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Finding the Fourth Proportional to 186.79, 280.31 and 89.29

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Solution

The fourth proportional to 186.79, 280.31 and 89.29 is: 133.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.79 : 280.31 = 89.29 : x
  2. Step 2: Convert to fraction form
    186.79/280.31 = 89.29/x
  3. Step 3: Cross multiply
    186.79x = 280.31 × 89.29
  4. Step 4: Simplify right side
    186.79x = 25,028.88
  5. Step 5: Solve for x
    x = 25,028.88/186.79
  6. Step 6: Final answer
    x = 133.99

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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.