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Finding the Fourth Proportional to 182.95, 274.46 and 61.22

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Solution

The fourth proportional to 182.95, 274.46 and 61.22 is: 91.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.95 : 274.46 = 61.22 : x
  2. Step 2: Convert to fraction form
    182.95/274.46 = 61.22/x
  3. Step 3: Cross multiply
    182.95x = 274.46 × 61.22
  4. Step 4: Simplify right side
    182.95x = 16,802.82
  5. Step 5: Solve for x
    x = 16,802.82/182.95
  6. Step 6: Final answer
    x = 91.85

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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.