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Finding the Fourth Proportional to 186.50, 257.23 and 116.49

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Solution

The fourth proportional to 186.50, 257.23 and 116.49 is: 160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.50 : 257.23 = 116.49 : x
  2. Step 2: Convert to fraction form
    186.50/257.23 = 116.49/x
  3. Step 3: Cross multiply
    186.50x = 257.23 × 116.49
  4. Step 4: Simplify right side
    186.50x = 29,963.73
  5. Step 5: Solve for x
    x = 29,963.73/186.50
  6. Step 6: Final answer
    x = 160.66

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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.