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Finding the Fourth Proportional to 186.71, 257.28 and 168.08

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Solution

The fourth proportional to 186.71, 257.28 and 168.08 is: 231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.71 : 257.28 = 168.08 : x
  2. Step 2: Convert to fraction form
    186.71/257.28 = 168.08/x
  3. Step 3: Cross multiply
    186.71x = 257.28 × 168.08
  4. Step 4: Simplify right side
    186.71x = 43,241.71
  5. Step 5: Solve for x
    x = 43,241.71/186.71
  6. Step 6: Final answer
    x = 231.60

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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.