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Finding the Fourth Proportional to 144.83, 217.43 and 144.17

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Solution

The fourth proportional to 144.83, 217.43 and 144.17 is: 216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.83 : 217.43 = 144.17 : x
  2. Step 2: Convert to fraction form
    144.83/217.43 = 144.17/x
  3. Step 3: Cross multiply
    144.83x = 217.43 × 144.17
  4. Step 4: Simplify right side
    144.83x = 31,345.08
  5. Step 5: Solve for x
    x = 31,345.08/144.83
  6. Step 6: Final answer
    x = 216.43

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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.