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Finding the Fourth Proportional to 186.26, 257.04 and 107.55

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Solution

The fourth proportional to 186.26, 257.04 and 107.55 is: 148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.26 : 257.04 = 107.55 : x
  2. Step 2: Convert to fraction form
    186.26/257.04 = 107.55/x
  3. Step 3: Cross multiply
    186.26x = 257.04 × 107.55
  4. Step 4: Simplify right side
    186.26x = 27,644.65
  5. Step 5: Solve for x
    x = 27,644.65/186.26
  6. Step 6: Final answer
    x = 148.42

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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.