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Finding the Fourth Proportional to 216.85, 324.96 and 125.37

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Solution

The fourth proportional to 216.85, 324.96 and 125.37 is: 187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.85 : 324.96 = 125.37 : x
  2. Step 2: Convert to fraction form
    216.85/324.96 = 125.37/x
  3. Step 3: Cross multiply
    216.85x = 324.96 × 125.37
  4. Step 4: Simplify right side
    216.85x = 40,740.24
  5. Step 5: Solve for x
    x = 40,740.24/216.85
  6. Step 6: Final answer
    x = 187.87

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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.