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Finding the Fourth Proportional to 182.80, 252.53 and 120.77

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Solution

The fourth proportional to 182.80, 252.53 and 120.77 is: 166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.80 : 252.53 = 120.77 : x
  2. Step 2: Convert to fraction form
    182.80/252.53 = 120.77/x
  3. Step 3: Cross multiply
    182.80x = 252.53 × 120.77
  4. Step 4: Simplify right side
    182.80x = 30,498.05
  5. Step 5: Solve for x
    x = 30,498.05/182.80
  6. Step 6: Final answer
    x = 166.84

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Why These Related Problems?

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