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Finding the Fourth Proportional to 186.37, 257.21 and 107.69

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Solution

The fourth proportional to 186.37, 257.21 and 107.69 is: 148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.37 : 257.21 = 107.69 : x
  2. Step 2: Convert to fraction form
    186.37/257.21 = 107.69/x
  3. Step 3: Cross multiply
    186.37x = 257.21 × 107.69
  4. Step 4: Simplify right side
    186.37x = 27,698.94
  5. Step 5: Solve for x
    x = 27,698.94/186.37
  6. Step 6: Final answer
    x = 148.62

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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.