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Finding the Fourth Proportional to 216.75, 325.67 and 139.75

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Solution

The fourth proportional to 216.75, 325.67 and 139.75 is: 209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.75 : 325.67 = 139.75 : x
  2. Step 2: Convert to fraction form
    216.75/325.67 = 139.75/x
  3. Step 3: Cross multiply
    216.75x = 325.67 × 139.75
  4. Step 4: Simplify right side
    216.75x = 45,512.38
  5. Step 5: Solve for x
    x = 45,512.38/216.75
  6. Step 6: Final answer
    x = 209.98

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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.