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Finding the Fourth Proportional to 216.80, 325.44 and 108.56

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Solution

The fourth proportional to 216.80, 325.44 and 108.56 is: 162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.80 : 325.44 = 108.56 : x
  2. Step 2: Convert to fraction form
    216.80/325.44 = 108.56/x
  3. Step 3: Cross multiply
    216.80x = 325.44 × 108.56
  4. Step 4: Simplify right side
    216.80x = 35,329.77
  5. Step 5: Solve for x
    x = 35,329.77/216.80
  6. Step 6: Final answer
    x = 162.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.