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Finding the Fourth Proportional to 216.56, 324.72 and 120.56

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Solution

The fourth proportional to 216.56, 324.72 and 120.56 is: 180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.56 : 324.72 = 120.56 : x
  2. Step 2: Convert to fraction form
    216.56/324.72 = 120.56/x
  3. Step 3: Cross multiply
    216.56x = 324.72 × 120.56
  4. Step 4: Simplify right side
    216.56x = 39,148.24
  5. Step 5: Solve for x
    x = 39,148.24/216.56
  6. Step 6: Final answer
    x = 180.77

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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.