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Finding the Fourth Proportional to 182.69, 252 and 170.54

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Solution

The fourth proportional to 182.69, 252 and 170.54 is: 235.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.69 : 252 = 170.54 : x
  2. Step 2: Convert to fraction form
    182.69/252 = 170.54/x
  3. Step 3: Cross multiply
    182.69x = 252 × 170.54
  4. Step 4: Simplify right side
    182.69x = 42,976.08
  5. Step 5: Solve for x
    x = 42,976.08/182.69
  6. Step 6: Final answer
    x = 235.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.