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Finding the Fourth Proportional to 216.99, 325.13 and 139.86

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Solution

The fourth proportional to 216.99, 325.13 and 139.86 is: 209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.99 : 325.13 = 139.86 : x
  2. Step 2: Convert to fraction form
    216.99/325.13 = 139.86/x
  3. Step 3: Cross multiply
    216.99x = 325.13 × 139.86
  4. Step 4: Simplify right side
    216.99x = 45,471.98
  5. Step 5: Solve for x
    x = 45,471.98/216.99
  6. Step 6: Final answer
    x = 209.56

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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.