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Finding the Fourth Proportional to 186.76, 257.77 and 116.85

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Solution

The fourth proportional to 186.76, 257.77 and 116.85 is: 161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.76 : 257.77 = 116.85 : x
  2. Step 2: Convert to fraction form
    186.76/257.77 = 116.85/x
  3. Step 3: Cross multiply
    186.76x = 257.77 × 116.85
  4. Step 4: Simplify right side
    186.76x = 30,120.42
  5. Step 5: Solve for x
    x = 30,120.42/186.76
  6. Step 6: Final answer
    x = 161.28

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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.