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Finding the Fourth Proportional to 216.77, 325.79 and 180.44

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Solution

The fourth proportional to 216.77, 325.79 and 180.44 is: 271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.77 : 325.79 = 180.44 : x
  2. Step 2: Convert to fraction form
    216.77/325.79 = 180.44/x
  3. Step 3: Cross multiply
    216.77x = 325.79 × 180.44
  4. Step 4: Simplify right side
    216.77x = 58,783.02
  5. Step 5: Solve for x
    x = 58,783.02/216.77
  6. Step 6: Final answer
    x = 271.18

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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.