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Finding the Fourth Proportional to 183.29, 252.95 and 121.07

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Solution

The fourth proportional to 183.29, 252.95 and 121.07 is: 167.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.29 : 252.95 = 121.07 : x
  2. Step 2: Convert to fraction form
    183.29/252.95 = 121.07/x
  3. Step 3: Cross multiply
    183.29x = 252.95 × 121.07
  4. Step 4: Simplify right side
    183.29x = 30,624.68
  5. Step 5: Solve for x
    x = 30,624.68/183.29
  6. Step 6: Final answer
    x = 167.09

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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.