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Finding the Fourth Proportional to 182.68, 273.87 and 96.05

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Solution

The fourth proportional to 182.68, 273.87 and 96.05 is: 144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.68 : 273.87 = 96.05 : x
  2. Step 2: Convert to fraction form
    182.68/273.87 = 96.05/x
  3. Step 3: Cross multiply
    182.68x = 273.87 × 96.05
  4. Step 4: Simplify right side
    182.68x = 26,305.90
  5. Step 5: Solve for x
    x = 26,305.90/182.68
  6. Step 6: Final answer
    x = 144.00

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Why These Related Problems?

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