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Finding the Fourth Proportional to 200.30, 276.20 and 195.84

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Solution

The fourth proportional to 200.30, 276.20 and 195.84 is: 270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.30 : 276.20 = 195.84 : x
  2. Step 2: Convert to fraction form
    200.30/276.20 = 195.84/x
  3. Step 3: Cross multiply
    200.30x = 276.20 × 195.84
  4. Step 4: Simplify right side
    200.30x = 54,091.01
  5. Step 5: Solve for x
    x = 54,091.01/200.30
  6. Step 6: Final answer
    x = 270.05

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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.