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Finding the Fourth Proportional to 186.93, 257.89 and 116.96

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Solution

The fourth proportional to 186.93, 257.89 and 116.96 is: 161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.93 : 257.89 = 116.96 : x
  2. Step 2: Convert to fraction form
    186.93/257.89 = 116.96/x
  3. Step 3: Cross multiply
    186.93x = 257.89 × 116.96
  4. Step 4: Simplify right side
    186.93x = 30,160.94
  5. Step 5: Solve for x
    x = 30,160.94/186.93
  6. Step 6: Final answer
    x = 161.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.