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Finding the Fourth Proportional to 186.79, 280.17 and 65.05

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Solution

The fourth proportional to 186.79, 280.17 and 65.05 is: 97.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.79 : 280.17 = 65.05 : x
  2. Step 2: Convert to fraction form
    186.79/280.17 = 65.05/x
  3. Step 3: Cross multiply
    186.79x = 280.17 × 65.05
  4. Step 4: Simplify right side
    186.79x = 18,225.06
  5. Step 5: Solve for x
    x = 18,225.06/186.79
  6. Step 6: Final answer
    x = 97.57

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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.