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Finding the Fourth Proportional to 186.42, 257.24 and 112.73

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Solution

The fourth proportional to 186.42, 257.24 and 112.73 is: 155.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.42 : 257.24 = 112.73 : x
  2. Step 2: Convert to fraction form
    186.42/257.24 = 112.73/x
  3. Step 3: Cross multiply
    186.42x = 257.24 × 112.73
  4. Step 4: Simplify right side
    186.42x = 28,996.82
  5. Step 5: Solve for x
    x = 28,996.82/186.42
  6. Step 6: Final answer
    x = 155.55

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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.