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Finding the Fourth Proportional to 186.27, 257.09 and 112.63

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Solution

The fourth proportional to 186.27, 257.09 and 112.63 is: 155.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.27 : 257.09 = 112.63 : x
  2. Step 2: Convert to fraction form
    186.27/257.09 = 112.63/x
  3. Step 3: Cross multiply
    186.27x = 257.09 × 112.63
  4. Step 4: Simplify right side
    186.27x = 28,956.05
  5. Step 5: Solve for x
    x = 28,956.05/186.27
  6. Step 6: Final answer
    x = 155.46

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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.