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Finding the Fourth Proportional to 182.64, 273.99 and 154.02

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Solution

The fourth proportional to 182.64, 273.99 and 154.02 is: 231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.64 : 273.99 = 154.02 : x
  2. Step 2: Convert to fraction form
    182.64/273.99 = 154.02/x
  3. Step 3: Cross multiply
    182.64x = 273.99 × 154.02
  4. Step 4: Simplify right side
    182.64x = 42,199.94
  5. Step 5: Solve for x
    x = 42,199.94/182.64
  6. Step 6: Final answer
    x = 231.06

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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.