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Finding the Fourth Proportional to 200.10, 301.41 and 185.06

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Solution

The fourth proportional to 200.10, 301.41 and 185.06 is: 278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.10 : 301.41 = 185.06 : x
  2. Step 2: Convert to fraction form
    200.10/301.41 = 185.06/x
  3. Step 3: Cross multiply
    200.10x = 301.41 × 185.06
  4. Step 4: Simplify right side
    200.10x = 55,777.43
  5. Step 5: Solve for x
    x = 55,777.43/200.10
  6. Step 6: Final answer
    x = 278.75

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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.