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Finding the Fourth Proportional to 186.98, 258.17 and 113.43

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Solution

The fourth proportional to 186.98, 258.17 and 113.43 is: 156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.98 : 258.17 = 113.43 : x
  2. Step 2: Convert to fraction form
    186.98/258.17 = 113.43/x
  3. Step 3: Cross multiply
    186.98x = 258.17 × 113.43
  4. Step 4: Simplify right side
    186.98x = 29,283.66
  5. Step 5: Solve for x
    x = 29,283.66/186.98
  6. Step 6: Final answer
    x = 156.61

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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.