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Finding the Fourth Proportional to 186.82, 257.70 and 127.78

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Solution

The fourth proportional to 186.82, 257.70 and 127.78 is: 176.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.82 : 257.70 = 127.78 : x
  2. Step 2: Convert to fraction form
    186.82/257.70 = 127.78/x
  3. Step 3: Cross multiply
    186.82x = 257.70 × 127.78
  4. Step 4: Simplify right side
    186.82x = 32,928.91
  5. Step 5: Solve for x
    x = 32,928.91/186.82
  6. Step 6: Final answer
    x = 176.26

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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.