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Finding the Fourth Proportional to 182.80, 272.86 and 170.64

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Solution

The fourth proportional to 182.80, 272.86 and 170.64 is: 254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.80 : 272.86 = 170.64 : x
  2. Step 2: Convert to fraction form
    182.80/272.86 = 170.64/x
  3. Step 3: Cross multiply
    182.80x = 272.86 × 170.64
  4. Step 4: Simplify right side
    182.80x = 46,560.83
  5. Step 5: Solve for x
    x = 46,560.83/182.80
  6. Step 6: Final answer
    x = 254.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.