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Finding the Fourth Proportional to 182.88, 273.84 and 158.60

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Solution

The fourth proportional to 182.88, 273.84 and 158.60 is: 237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.88 : 273.84 = 158.60 : x
  2. Step 2: Convert to fraction form
    182.88/273.84 = 158.60/x
  3. Step 3: Cross multiply
    182.88x = 273.84 × 158.60
  4. Step 4: Simplify right side
    182.88x = 43,431.02
  5. Step 5: Solve for x
    x = 43,431.02/182.88
  6. Step 6: Final answer
    x = 237.48

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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.