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Finding the Fourth Proportional to 216.37, 324.75 and 118.96

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Solution

The fourth proportional to 216.37, 324.75 and 118.96 is: 178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.37 : 324.75 = 118.96 : x
  2. Step 2: Convert to fraction form
    216.37/324.75 = 118.96/x
  3. Step 3: Cross multiply
    216.37x = 324.75 × 118.96
  4. Step 4: Simplify right side
    216.37x = 38,632.22
  5. Step 5: Solve for x
    x = 38,632.22/216.37
  6. Step 6: Final answer
    x = 178.55

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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.