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Finding the Fourth Proportional to 182.07, 272.79 and 130.61

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Solution

The fourth proportional to 182.07, 272.79 and 130.61 is: 195.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.07 : 272.79 = 130.61 : x
  2. Step 2: Convert to fraction form
    182.07/272.79 = 130.61/x
  3. Step 3: Cross multiply
    182.07x = 272.79 × 130.61
  4. Step 4: Simplify right side
    182.07x = 35,629.78
  5. Step 5: Solve for x
    x = 35,629.78/182.07
  6. Step 6: Final answer
    x = 195.69

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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.