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Finding the Fourth Proportional to 216.19, 324.15 and 142.97

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Solution

The fourth proportional to 216.19, 324.15 and 142.97 is: 214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.19 : 324.15 = 142.97 : x
  2. Step 2: Convert to fraction form
    216.19/324.15 = 142.97/x
  3. Step 3: Cross multiply
    216.19x = 324.15 × 142.97
  4. Step 4: Simplify right side
    216.19x = 46,344.00
  5. Step 5: Solve for x
    x = 46,344.00/216.19
  6. Step 6: Final answer
    x = 214.37

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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.