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Finding the Fourth Proportional to 186.14, 256.86 and 102.11

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Solution

The fourth proportional to 186.14, 256.86 and 102.11 is: 140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.14 : 256.86 = 102.11 : x
  2. Step 2: Convert to fraction form
    186.14/256.86 = 102.11/x
  3. Step 3: Cross multiply
    186.14x = 256.86 × 102.11
  4. Step 4: Simplify right side
    186.14x = 26,227.97
  5. Step 5: Solve for x
    x = 26,227.97/186.14
  6. Step 6: Final answer
    x = 140.90

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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.