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Finding the Fourth Proportional to 200.36, 299.10 and 185.33

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Solution

The fourth proportional to 200.36, 299.10 and 185.33 is: 276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.36 : 299.10 = 185.33 : x
  2. Step 2: Convert to fraction form
    200.36/299.10 = 185.33/x
  3. Step 3: Cross multiply
    200.36x = 299.10 × 185.33
  4. Step 4: Simplify right side
    200.36x = 55,432.08
  5. Step 5: Solve for x
    x = 55,432.08/200.36
  6. Step 6: Final answer
    x = 276.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.