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Finding the Fourth Proportional to 186.42, 257.23 and 107.73

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Solution

The fourth proportional to 186.42, 257.23 and 107.73 is: 148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.42 : 257.23 = 107.73 : x
  2. Step 2: Convert to fraction form
    186.42/257.23 = 107.73/x
  3. Step 3: Cross multiply
    186.42x = 257.23 × 107.73
  4. Step 4: Simplify right side
    186.42x = 27,711.12
  5. Step 5: Solve for x
    x = 27,711.12/186.42
  6. Step 6: Final answer
    x = 148.65

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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.