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Finding the Fourth Proportional to 216.95, 324.81 and 140.00

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Solution

The fourth proportional to 216.95, 324.81 and 140.00 is: 209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.95 : 324.81 = 140.00 : x
  2. Step 2: Convert to fraction form
    216.95/324.81 = 140.00/x
  3. Step 3: Cross multiply
    216.95x = 324.81 × 140.00
  4. Step 4: Simplify right side
    216.95x = 45,471.78
  5. Step 5: Solve for x
    x = 45,471.78/216.95
  6. Step 6: Final answer
    x = 209.60

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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.