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Finding the Fourth Proportional to 186.41, 257.25 and 103.52

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Solution

The fourth proportional to 186.41, 257.25 and 103.52 is: 142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.41 : 257.25 = 103.52 : x
  2. Step 2: Convert to fraction form
    186.41/257.25 = 103.52/x
  3. Step 3: Cross multiply
    186.41x = 257.25 × 103.52
  4. Step 4: Simplify right side
    186.41x = 26,628.72
  5. Step 5: Solve for x
    x = 26,628.72/186.41
  6. Step 6: Final answer
    x = 142.85

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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.