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Finding the Fourth Proportional to 144.98, 200.07 and 82.84

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Solution

The fourth proportional to 144.98, 200.07 and 82.84 is: 114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.98 : 200.07 = 82.84 : x
  2. Step 2: Convert to fraction form
    144.98/200.07 = 82.84/x
  3. Step 3: Cross multiply
    144.98x = 200.07 × 82.84
  4. Step 4: Simplify right side
    144.98x = 16,573.80
  5. Step 5: Solve for x
    x = 16,573.80/144.98
  6. Step 6: Final answer
    x = 114.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.