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Finding the Fourth Proportional to 216.36, 324.42 and 125.23

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Solution

The fourth proportional to 216.36, 324.42 and 125.23 is: 187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.36 : 324.42 = 125.23 : x
  2. Step 2: Convert to fraction form
    216.36/324.42 = 125.23/x
  3. Step 3: Cross multiply
    216.36x = 324.42 × 125.23
  4. Step 4: Simplify right side
    216.36x = 40,627.12
  5. Step 5: Solve for x
    x = 40,627.12/216.36
  6. Step 6: Final answer
    x = 187.78

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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.