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Finding the Fourth Proportional to 186.94, 258.11 and 117.11

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Solution

The fourth proportional to 186.94, 258.11 and 117.11 is: 161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.94 : 258.11 = 117.11 : x
  2. Step 2: Convert to fraction form
    186.94/258.11 = 117.11/x
  3. Step 3: Cross multiply
    186.94x = 258.11 × 117.11
  4. Step 4: Simplify right side
    186.94x = 30,227.26
  5. Step 5: Solve for x
    x = 30,227.26/186.94
  6. Step 6: Final answer
    x = 161.69

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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.