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Finding the Fourth Proportional to 199.30, 273.51 and 180.83

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Solution

The fourth proportional to 199.30, 273.51 and 180.83 is: 248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.30 : 273.51 = 180.83 : x
  2. Step 2: Convert to fraction form
    199.30/273.51 = 180.83/x
  3. Step 3: Cross multiply
    199.30x = 273.51 × 180.83
  4. Step 4: Simplify right side
    199.30x = 49,458.81
  5. Step 5: Solve for x
    x = 49,458.81/199.30
  6. Step 6: Final answer
    x = 248.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.