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Finding the Fourth Proportional to 200.36, 301.70 and 183.56

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Solution

The fourth proportional to 200.36, 301.70 and 183.56 is: 276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.36 : 301.70 = 183.56 : x
  2. Step 2: Convert to fraction form
    200.36/301.70 = 183.56/x
  3. Step 3: Cross multiply
    200.36x = 301.70 × 183.56
  4. Step 4: Simplify right side
    200.36x = 55,380.05
  5. Step 5: Solve for x
    x = 55,380.05/200.36
  6. Step 6: Final answer
    x = 276.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.