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Finding the Fourth Proportional to 182.94, 274.25 and 104.76

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Solution

The fourth proportional to 182.94, 274.25 and 104.76 is: 157.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.94 : 274.25 = 104.76 : x
  2. Step 2: Convert to fraction form
    182.94/274.25 = 104.76/x
  3. Step 3: Cross multiply
    182.94x = 274.25 × 104.76
  4. Step 4: Simplify right side
    182.94x = 28,730.43
  5. Step 5: Solve for x
    x = 28,730.43/182.94
  6. Step 6: Final answer
    x = 157.05

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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.