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Finding the Fourth Proportional to 186.99, 257.97 and 121.53

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Solution

The fourth proportional to 186.99, 257.97 and 121.53 is: 167.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.99 : 257.97 = 121.53 : x
  2. Step 2: Convert to fraction form
    186.99/257.97 = 121.53/x
  3. Step 3: Cross multiply
    186.99x = 257.97 × 121.53
  4. Step 4: Simplify right side
    186.99x = 31,351.09
  5. Step 5: Solve for x
    x = 31,351.09/186.99
  6. Step 6: Final answer
    x = 167.66

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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.