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Finding the Fourth Proportional to 186.38, 257.16 and 116.42

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Solution

The fourth proportional to 186.38, 257.16 and 116.42 is: 160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.38 : 257.16 = 116.42 : x
  2. Step 2: Convert to fraction form
    186.38/257.16 = 116.42/x
  3. Step 3: Cross multiply
    186.38x = 257.16 × 116.42
  4. Step 4: Simplify right side
    186.38x = 29,938.57
  5. Step 5: Solve for x
    x = 29,938.57/186.38
  6. Step 6: Final answer
    x = 160.63

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Why These Related Problems?

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