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Finding the Fourth Proportional to 202.09, 279.17 and 194.60

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Solution

The fourth proportional to 202.09, 279.17 and 194.60 is: 268.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.09 : 279.17 = 194.60 : x
  2. Step 2: Convert to fraction form
    202.09/279.17 = 194.60/x
  3. Step 3: Cross multiply
    202.09x = 279.17 × 194.60
  4. Step 4: Simplify right side
    202.09x = 54,324.81
  5. Step 5: Solve for x
    x = 54,324.81/202.09
  6. Step 6: Final answer
    x = 268.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.