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Finding the Fourth Proportional to 216.32, 323.87 and 144.03

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Solution

The fourth proportional to 216.32, 323.87 and 144.03 is: 215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.32 : 323.87 = 144.03 : x
  2. Step 2: Convert to fraction form
    216.32/323.87 = 144.03/x
  3. Step 3: Cross multiply
    216.32x = 323.87 × 144.03
  4. Step 4: Simplify right side
    216.32x = 46,646.28
  5. Step 5: Solve for x
    x = 46,646.28/216.32
  6. Step 6: Final answer
    x = 215.64

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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.