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Finding the Fourth Proportional to 144.52, 200.82 and 143.04

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Solution

The fourth proportional to 144.52, 200.82 and 143.04 is: 198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.52 : 200.82 = 143.04 : x
  2. Step 2: Convert to fraction form
    144.52/200.82 = 143.04/x
  3. Step 3: Cross multiply
    144.52x = 200.82 × 143.04
  4. Step 4: Simplify right side
    144.52x = 28,725.29
  5. Step 5: Solve for x
    x = 28,725.29/144.52
  6. Step 6: Final answer
    x = 198.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.