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Finding the Fourth Proportional to 186.25, 257.09 and 112.57

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Solution

The fourth proportional to 186.25, 257.09 and 112.57 is: 155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.25 : 257.09 = 112.57 : x
  2. Step 2: Convert to fraction form
    186.25/257.09 = 112.57/x
  3. Step 3: Cross multiply
    186.25x = 257.09 × 112.57
  4. Step 4: Simplify right side
    186.25x = 28,940.48
  5. Step 5: Solve for x
    x = 28,940.48/186.25
  6. Step 6: Final answer
    x = 155.39

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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.