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Finding the Fourth Proportional to 216.88, 324.41 and 144.59

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Solution

The fourth proportional to 216.88, 324.41 and 144.59 is: 216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.88 : 324.41 = 144.59 : x
  2. Step 2: Convert to fraction form
    216.88/324.41 = 144.59/x
  3. Step 3: Cross multiply
    216.88x = 324.41 × 144.59
  4. Step 4: Simplify right side
    216.88x = 46,904.10
  5. Step 5: Solve for x
    x = 46,904.10/216.88
  6. Step 6: Final answer
    x = 216.27

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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.