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Finding the Fourth Proportional to 216.87, 325.09 and 176.37

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Solution

The fourth proportional to 216.87, 325.09 and 176.37 is: 264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.87 : 325.09 = 176.37 : x
  2. Step 2: Convert to fraction form
    216.87/325.09 = 176.37/x
  3. Step 3: Cross multiply
    216.87x = 325.09 × 176.37
  4. Step 4: Simplify right side
    216.87x = 57,336.12
  5. Step 5: Solve for x
    x = 57,336.12/216.87
  6. Step 6: Final answer
    x = 264.38

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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.