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Finding the Fourth Proportional to 216.36, 325.16 and 180.02

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Solution

The fourth proportional to 216.36, 325.16 and 180.02 is: 270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.36 : 325.16 = 180.02 : x
  2. Step 2: Convert to fraction form
    216.36/325.16 = 180.02/x
  3. Step 3: Cross multiply
    216.36x = 325.16 × 180.02
  4. Step 4: Simplify right side
    216.36x = 58,532.78
  5. Step 5: Solve for x
    x = 58,532.78/216.36
  6. Step 6: Final answer
    x = 270.54

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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.