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Finding the Fourth Proportional to 202.74, 305.61 and 185.43

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Solution

The fourth proportional to 202.74, 305.61 and 185.43 is: 279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.74 : 305.61 = 185.43 : x
  2. Step 2: Convert to fraction form
    202.74/305.61 = 185.43/x
  3. Step 3: Cross multiply
    202.74x = 305.61 × 185.43
  4. Step 4: Simplify right side
    202.74x = 56,668.85
  5. Step 5: Solve for x
    x = 56,668.85/202.74
  6. Step 6: Final answer
    x = 279.51

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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.