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Finding the Fourth Proportional to 182.63, 273.51 and 96.04

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Solution

The fourth proportional to 182.63, 273.51 and 96.04 is: 143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.63 : 273.51 = 96.04 : x
  2. Step 2: Convert to fraction form
    182.63/273.51 = 96.04/x
  3. Step 3: Cross multiply
    182.63x = 273.51 × 96.04
  4. Step 4: Simplify right side
    182.63x = 26,267.45
  5. Step 5: Solve for x
    x = 26,267.45/182.63
  6. Step 6: Final answer
    x = 143.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.