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Finding the Fourth Proportional to 182.04, 273.09 and 148.09

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Solution

The fourth proportional to 182.04, 273.09 and 148.09 is: 222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.04 : 273.09 = 148.09 : x
  2. Step 2: Convert to fraction form
    182.04/273.09 = 148.09/x
  3. Step 3: Cross multiply
    182.04x = 273.09 × 148.09
  4. Step 4: Simplify right side
    182.04x = 40,441.90
  5. Step 5: Solve for x
    x = 40,441.90/182.04
  6. Step 6: Final answer
    x = 222.16

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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.