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Finding the Fourth Proportional to 182.96, 274.40 and 73.24

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Solution

The fourth proportional to 182.96, 274.40 and 73.24 is: 109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.96 : 274.40 = 73.24 : x
  2. Step 2: Convert to fraction form
    182.96/274.40 = 73.24/x
  3. Step 3: Cross multiply
    182.96x = 274.40 × 73.24
  4. Step 4: Simplify right side
    182.96x = 20,097.06
  5. Step 5: Solve for x
    x = 20,097.06/182.96
  6. Step 6: Final answer
    x = 109.84

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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.