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Finding the Fourth Proportional to 200.14, 276.08 and 144.96

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Solution

The fourth proportional to 200.14, 276.08 and 144.96 is: 199.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.14 : 276.08 = 144.96 : x
  2. Step 2: Convert to fraction form
    200.14/276.08 = 144.96/x
  3. Step 3: Cross multiply
    200.14x = 276.08 × 144.96
  4. Step 4: Simplify right side
    200.14x = 40,020.56
  5. Step 5: Solve for x
    x = 40,020.56/200.14
  6. Step 6: Final answer
    x = 199.96

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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.