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Finding the Fourth Proportional to 186.66, 257.68 and 112.96

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Solution

The fourth proportional to 186.66, 257.68 and 112.96 is: 155.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.66 : 257.68 = 112.96 : x
  2. Step 2: Convert to fraction form
    186.66/257.68 = 112.96/x
  3. Step 3: Cross multiply
    186.66x = 257.68 × 112.96
  4. Step 4: Simplify right side
    186.66x = 29,107.53
  5. Step 5: Solve for x
    x = 29,107.53/186.66
  6. Step 6: Final answer
    x = 155.94

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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.