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Finding the Fourth Proportional to 216.88, 325.34 and 120.64

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Solution

The fourth proportional to 216.88, 325.34 and 120.64 is: 180.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.88 : 325.34 = 120.64 : x
  2. Step 2: Convert to fraction form
    216.88/325.34 = 120.64/x
  3. Step 3: Cross multiply
    216.88x = 325.34 × 120.64
  4. Step 4: Simplify right side
    216.88x = 39,249.02
  5. Step 5: Solve for x
    x = 39,249.02/216.88
  6. Step 6: Final answer
    x = 180.97

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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.