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Finding the Fourth Proportional to 182.37, 272.95 and 113.95

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Solution

The fourth proportional to 182.37, 272.95 and 113.95 is: 170.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.37 : 272.95 = 113.95 : x
  2. Step 2: Convert to fraction form
    182.37/272.95 = 113.95/x
  3. Step 3: Cross multiply
    182.37x = 272.95 × 113.95
  4. Step 4: Simplify right side
    182.37x = 31,102.65
  5. Step 5: Solve for x
    x = 31,102.65/182.37
  6. Step 6: Final answer
    x = 170.55

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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.