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Finding the Fourth Proportional to 186.17, 278.85 and 113.81

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Solution

The fourth proportional to 186.17, 278.85 and 113.81 is: 170.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.17 : 278.85 = 113.81 : x
  2. Step 2: Convert to fraction form
    186.17/278.85 = 113.81/x
  3. Step 3: Cross multiply
    186.17x = 278.85 × 113.81
  4. Step 4: Simplify right side
    186.17x = 31,735.92
  5. Step 5: Solve for x
    x = 31,735.92/186.17
  6. Step 6: Final answer
    x = 170.47

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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.