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Finding the Fourth Proportional to 186.69, 257.63 and 103.78

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Solution

The fourth proportional to 186.69, 257.63 and 103.78 is: 143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.69 : 257.63 = 103.78 : x
  2. Step 2: Convert to fraction form
    186.69/257.63 = 103.78/x
  3. Step 3: Cross multiply
    186.69x = 257.63 × 103.78
  4. Step 4: Simplify right side
    186.69x = 26,736.84
  5. Step 5: Solve for x
    x = 26,736.84/186.69
  6. Step 6: Final answer
    x = 143.22

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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.