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Finding the Fourth Proportional to 186.67, 257.52 and 116.65

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Solution

The fourth proportional to 186.67, 257.52 and 116.65 is: 160.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.67 : 257.52 = 116.65 : x
  2. Step 2: Convert to fraction form
    186.67/257.52 = 116.65/x
  3. Step 3: Cross multiply
    186.67x = 257.52 × 116.65
  4. Step 4: Simplify right side
    186.67x = 30,039.71
  5. Step 5: Solve for x
    x = 30,039.71/186.67
  6. Step 6: Final answer
    x = 160.92

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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.