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Finding the Fourth Proportional to 186.13, 277.72 and 168.82

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Solution

The fourth proportional to 186.13, 277.72 and 168.82 is: 251.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.13 : 277.72 = 168.82 : x
  2. Step 2: Convert to fraction form
    186.13/277.72 = 168.82/x
  3. Step 3: Cross multiply
    186.13x = 277.72 × 168.82
  4. Step 4: Simplify right side
    186.13x = 46,884.69
  5. Step 5: Solve for x
    x = 46,884.69/186.13
  6. Step 6: Final answer
    x = 251.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.