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Finding the Fourth Proportional to 216.64, 324.80 and 120.48

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Solution

The fourth proportional to 216.64, 324.80 and 120.48 is: 180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.64 : 324.80 = 120.48 : x
  2. Step 2: Convert to fraction form
    216.64/324.80 = 120.48/x
  3. Step 3: Cross multiply
    216.64x = 324.80 × 120.48
  4. Step 4: Simplify right side
    216.64x = 39,131.90
  5. Step 5: Solve for x
    x = 39,131.90/216.64
  6. Step 6: Final answer
    x = 180.63

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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.