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Finding the Fourth Proportional to 202.44, 301.91 and 185.13

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Solution

The fourth proportional to 202.44, 301.91 and 185.13 is: 276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.44 : 301.91 = 185.13 : x
  2. Step 2: Convert to fraction form
    202.44/301.91 = 185.13/x
  3. Step 3: Cross multiply
    202.44x = 301.91 × 185.13
  4. Step 4: Simplify right side
    202.44x = 55,891.67
  5. Step 5: Solve for x
    x = 55,891.67/202.44
  6. Step 6: Final answer
    x = 276.08

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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.