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Finding the Fourth Proportional to 182.82, 273.96 and 154.02

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Solution

The fourth proportional to 182.82, 273.96 and 154.02 is: 230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.82 : 273.96 = 154.02 : x
  2. Step 2: Convert to fraction form
    182.82/273.96 = 154.02/x
  3. Step 3: Cross multiply
    182.82x = 273.96 × 154.02
  4. Step 4: Simplify right side
    182.82x = 42,195.32
  5. Step 5: Solve for x
    x = 42,195.32/182.82
  6. Step 6: Final answer
    x = 230.80

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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.