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Finding the Fourth Proportional to 186.73, 257.78 and 127.73

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Solution

The fourth proportional to 186.73, 257.78 and 127.73 is: 176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.73 : 257.78 = 127.73 : x
  2. Step 2: Convert to fraction form
    186.73/257.78 = 127.73/x
  3. Step 3: Cross multiply
    186.73x = 257.78 × 127.73
  4. Step 4: Simplify right side
    186.73x = 32,925.75
  5. Step 5: Solve for x
    x = 32,925.75/186.73
  6. Step 6: Final answer
    x = 176.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.