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Finding the Fourth Proportional to 182.93, 252.53 and 120.81

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Solution

The fourth proportional to 182.93, 252.53 and 120.81 is: 166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.93 : 252.53 = 120.81 : x
  2. Step 2: Convert to fraction form
    182.93/252.53 = 120.81/x
  3. Step 3: Cross multiply
    182.93x = 252.53 × 120.81
  4. Step 4: Simplify right side
    182.93x = 30,506.28
  5. Step 5: Solve for x
    x = 30,506.28/182.93
  6. Step 6: Final answer
    x = 166.77

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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.