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Finding the Fourth Proportional to 182.60, 252.29 and 180.77

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Solution

The fourth proportional to 182.60, 252.29 and 180.77 is: 249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.60 : 252.29 = 180.77 : x
  2. Step 2: Convert to fraction form
    182.60/252.29 = 180.77/x
  3. Step 3: Cross multiply
    182.60x = 252.29 × 180.77
  4. Step 4: Simplify right side
    182.60x = 45,607.27
  5. Step 5: Solve for x
    x = 45,607.27/182.60
  6. Step 6: Final answer
    x = 249.77

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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.