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Finding the Fourth Proportional to 186.59, 257.46 and 106.83

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Solution

The fourth proportional to 186.59, 257.46 and 106.83 is: 147.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.59 : 257.46 = 106.83 : x
  2. Step 2: Convert to fraction form
    186.59/257.46 = 106.83/x
  3. Step 3: Cross multiply
    186.59x = 257.46 × 106.83
  4. Step 4: Simplify right side
    186.59x = 27,504.45
  5. Step 5: Solve for x
    x = 27,504.45/186.59
  6. Step 6: Final answer
    x = 147.41

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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.